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Finding the Third Proportional to 42,947,670 and 65,046,663

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Solution

The third proportional to 42,947,670 and 65,046,663 is: 98,516,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,947,670 : 65,046,663 = 65,046,663 : x
  2. Step 2: Convert to fraction form
    42,947,670/65,046,663 = 65,046,663/x
  3. Step 3: Cross multiply
    42,947,670x = 65,046,663 × 65,046,663
  4. Step 4: Simplify right side
    42,947,670x = 4,231,068,367,435,569
  5. Step 5: Solve for x
    x = 4,231,068,367,435,569/42,947,670
  6. Step 6: Final answer
    x = 98,516,831.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.