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Finding the Third Proportional to 1,296,525,416 and 2,789,692,852.75

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Solution

The third proportional to 1,296,525,416 and 2,789,692,852.75 is: 6,002,494,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,525,416 : 2,789,692,852.75 = 2,789,692,852.75 : x
  2. Step 2: Convert to fraction form
    1,296,525,416/2,789,692,852.75 = 2,789,692,852.75/x
  3. Step 3: Cross multiply
    1,296,525,416x = 2,789,692,852.75 × 2,789,692,852.75
  4. Step 4: Simplify right side
    1,296,525,416x = 7,782,386,212,684,433,408
  5. Step 5: Solve for x
    x = 7,782,386,212,684,433,408/1,296,525,416
  6. Step 6: Final answer
    x = 6,002,494,140.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.