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Finding the Third Proportional to 363,635,816 and 781,240,528

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Solution

The third proportional to 363,635,816 and 781,240,528 is: 1,678,428,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,635,816 : 781,240,528 = 781,240,528 : x
  2. Step 2: Convert to fraction form
    363,635,816/781,240,528 = 781,240,528/x
  3. Step 3: Cross multiply
    363,635,816x = 781,240,528 × 781,240,528
  4. Step 4: Simplify right side
    363,635,816x = 610,336,762,589,718,784
  5. Step 5: Solve for x
    x = 610,336,762,589,718,784/363,635,816
  6. Step 6: Final answer
    x = 1,678,428,624.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.