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Finding the Third Proportional to 487,766,535.75 and 695,329,201.13

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Solution

The third proportional to 487,766,535.75 and 695,329,201.13 is: 991,217,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,766,535.75 : 695,329,201.13 = 695,329,201.13 : x
  2. Step 2: Convert to fraction form
    487,766,535.75/695,329,201.13 = 695,329,201.13/x
  3. Step 3: Cross multiply
    487,766,535.75x = 695,329,201.13 × 695,329,201.13
  4. Step 4: Simplify right side
    487,766,535.75x = 483,482,697,937,130,688
  5. Step 5: Solve for x
    x = 483,482,697,937,130,688/487,766,535.75
  6. Step 6: Final answer
    x = 991,217,442.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.