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Finding the Third Proportional to 692,605,863 and 1,523,730,472

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Solution

The third proportional to 692,605,863 and 1,523,730,472 is: 3,352,201,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,605,863 : 1,523,730,472 = 1,523,730,472 : x
  2. Step 2: Convert to fraction form
    692,605,863/1,523,730,472 = 1,523,730,472/x
  3. Step 3: Cross multiply
    692,605,863x = 1,523,730,472 × 1,523,730,472
  4. Step 4: Simplify right side
    692,605,863x = 2,321,754,551,301,342,720
  5. Step 5: Solve for x
    x = 2,321,754,551,301,342,720/692,605,863
  6. Step 6: Final answer
    x = 3,352,201,699.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.