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Finding the Third Proportional to 616,187,489 and 954,459,691.50

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Solution

The third proportional to 616,187,489 and 954,459,691.50 is: 1,478,435,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,187,489 : 954,459,691.50 = 954,459,691.50 : x
  2. Step 2: Convert to fraction form
    616,187,489/954,459,691.50 = 954,459,691.50/x
  3. Step 3: Cross multiply
    616,187,489x = 954,459,691.50 × 954,459,691.50
  4. Step 4: Simplify right side
    616,187,489x = 910,993,302,698,275,200
  5. Step 5: Solve for x
    x = 910,993,302,698,275,200/616,187,489
  6. Step 6: Final answer
    x = 1,478,435,247.32

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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.