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Finding the Third Proportional to 1,098,961,062,556.40 and 1,662,575,738,890.40

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Solution

The third proportional to 1,098,961,062,556.40 and 1,662,575,738,890.40 is: 2,515,246,610,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,961,062,556.40 : 1,662,575,738,890.40 = 1,662,575,738,890.40 : x
  2. Step 2: Convert to fraction form
    1,098,961,062,556.40/1,662,575,738,890.40 = 1,662,575,738,890.40/x
  3. Step 3: Cross multiply
    1,098,961,062,556.40x = 1,662,575,738,890.40 × 1,662,575,738,890.40
  4. Step 4: Simplify right side
    1,098,961,062,556.40x = 2,764,158,087,546,959,409,709,056
  5. Step 5: Solve for x
    x = 2,764,158,087,546,959,409,709,056/1,098,961,062,556.40
  6. Step 6: Final answer
    x = 2,515,246,610,391.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.