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Finding the Third Proportional to 42,017,784 and 91,397,496

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Solution

The third proportional to 42,017,784 and 91,397,496 is: 198,808,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,017,784 : 91,397,496 = 91,397,496 : x
  2. Step 2: Convert to fraction form
    42,017,784/91,397,496 = 91,397,496/x
  3. Step 3: Cross multiply
    42,017,784x = 91,397,496 × 91,397,496
  4. Step 4: Simplify right side
    42,017,784x = 8,353,502,275,070,016
  5. Step 5: Solve for x
    x = 8,353,502,275,070,016/42,017,784
  6. Step 6: Final answer
    x = 198,808,730.01

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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.