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Finding the Third Proportional to 10,381,501.05 and 22,718,077.59

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Solution

The third proportional to 10,381,501.05 and 22,718,077.59 is: 49,714,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381,501.05 : 22,718,077.59 = 22,718,077.59 : x
  2. Step 2: Convert to fraction form
    10,381,501.05/22,718,077.59 = 22,718,077.59/x
  3. Step 3: Cross multiply
    10,381,501.05x = 22,718,077.59 × 22,718,077.59
  4. Step 4: Simplify right side
    10,381,501.05x = 516,111,049,555,645.81
  5. Step 5: Solve for x
    x = 516,111,049,555,645.81/10,381,501.05
  6. Step 6: Final answer
    x = 49,714,491.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.