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Finding the Third Proportional to 532,068,752.53 and 1,243,152,689.06

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Solution

The third proportional to 532,068,752.53 and 1,243,152,689.06 is: 2,904,565,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,068,752.53 : 1,243,152,689.06 = 1,243,152,689.06 : x
  2. Step 2: Convert to fraction form
    532,068,752.53/1,243,152,689.06 = 1,243,152,689.06/x
  3. Step 3: Cross multiply
    532,068,752.53x = 1,243,152,689.06 × 1,243,152,689.06
  4. Step 4: Simplify right side
    532,068,752.53x = 1,545,428,608,323,324,928
  5. Step 5: Solve for x
    x = 1,545,428,608,323,324,928/532,068,752.53
  6. Step 6: Final answer
    x = 2,904,565,624.22

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.