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Finding the Third Proportional to 616,187,486.25 and 954,459,687.38

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Solution

The third proportional to 616,187,486.25 and 954,459,687.38 is: 1,478,435,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,187,486.25 : 954,459,687.38 = 954,459,687.38 : x
  2. Step 2: Convert to fraction form
    616,187,486.25/954,459,687.38 = 954,459,687.38/x
  3. Step 3: Cross multiply
    616,187,486.25x = 954,459,687.38 × 954,459,687.38
  4. Step 4: Simplify right side
    616,187,486.25x = 910,993,294,823,982,720
  5. Step 5: Solve for x
    x = 910,993,294,823,982,720/616,187,486.25
  6. Step 6: Final answer
    x = 1,478,435,241.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.