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Finding the Third Proportional to 753,564,068.25 and 1,017,811,818.38

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Solution

The third proportional to 753,564,068.25 and 1,017,811,818.38 is: 1,374,721,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,564,068.25 : 1,017,811,818.38 = 1,017,811,818.38 : x
  2. Step 2: Convert to fraction form
    753,564,068.25/1,017,811,818.38 = 1,017,811,818.38/x
  3. Step 3: Cross multiply
    753,564,068.25x = 1,017,811,818.38 × 1,017,811,818.38
  4. Step 4: Simplify right side
    753,564,068.25x = 1,035,940,897,623,824,000
  5. Step 5: Solve for x
    x = 1,035,940,897,623,824,000/753,564,068.25
  6. Step 6: Final answer
    x = 1,374,721,727.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.