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Finding the Third Proportional to 10,381,327.50 and 22,716,785.06

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Solution

The third proportional to 10,381,327.50 and 22,716,785.06 is: 49,709,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381,327.50 : 22,716,785.06 = 22,716,785.06 : x
  2. Step 2: Convert to fraction form
    10,381,327.50/22,716,785.06 = 22,716,785.06/x
  3. Step 3: Cross multiply
    10,381,327.50x = 22,716,785.06 × 22,716,785.06
  4. Step 4: Simplify right side
    10,381,327.50x = 516,052,323,575,823.12
  5. Step 5: Solve for x
    x = 516,052,323,575,823.12/10,381,327.50
  6. Step 6: Final answer
    x = 49,709,666.09

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Why These Related Problems?

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