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Finding the Third Proportional to 262,423,707.75 and 563,791,726.69

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Solution

The third proportional to 262,423,707.75 and 563,791,726.69 is: 1,211,251,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,707.75 : 563,791,726.69 = 563,791,726.69 : x
  2. Step 2: Convert to fraction form
    262,423,707.75/563,791,726.69 = 563,791,726.69/x
  3. Step 3: Cross multiply
    262,423,707.75x = 563,791,726.69 × 563,791,726.69
  4. Step 4: Simplify right side
    262,423,707.75x = 317,861,111,081,272,704
  5. Step 5: Solve for x
    x = 317,861,111,081,272,704/262,423,707.75
  6. Step 6: Final answer
    x = 1,211,251,505.46

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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.