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Finding the Third Proportional to 1,359,432,922 and 2,099,202,362

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Solution

The third proportional to 1,359,432,922 and 2,099,202,362 is: 3,241,535,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,922 : 2,099,202,362 = 2,099,202,362 : x
  2. Step 2: Convert to fraction form
    1,359,432,922/2,099,202,362 = 2,099,202,362/x
  3. Step 3: Cross multiply
    1,359,432,922x = 2,099,202,362 × 2,099,202,362
  4. Step 4: Simplify right side
    1,359,432,922x = 4,406,650,556,626,379,264
  5. Step 5: Solve for x
    x = 4,406,650,556,626,379,264/1,359,432,922
  6. Step 6: Final answer
    x = 3,241,535,853.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.