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Finding the Third Proportional to 42,017,776 and 91,397,480

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Solution

The third proportional to 42,017,776 and 91,397,480 is: 198,808,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,017,776 : 91,397,480 = 91,397,480 : x
  2. Step 2: Convert to fraction form
    42,017,776/91,397,480 = 91,397,480/x
  3. Step 3: Cross multiply
    42,017,776x = 91,397,480 × 91,397,480
  4. Step 4: Simplify right side
    42,017,776x = 8,353,499,350,350,400
  5. Step 5: Solve for x
    x = 8,353,499,350,350,400/42,017,776
  6. Step 6: Final answer
    x = 198,808,698.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.