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Finding the Third Proportional to 10,224,465.05 and 22,074,007.78

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Solution

The third proportional to 10,224,465.05 and 22,074,007.78 is: 47,656,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224,465.05 : 22,074,007.78 = 22,074,007.78 : x
  2. Step 2: Convert to fraction form
    10,224,465.05/22,074,007.78 = 22,074,007.78/x
  3. Step 3: Cross multiply
    10,224,465.05x = 22,074,007.78 × 22,074,007.78
  4. Step 4: Simplify right side
    10,224,465.05x = 487,261,819,526,685.56
  5. Step 5: Solve for x
    x = 487,261,819,526,685.56/10,224,465.05
  6. Step 6: Final answer
    x = 47,656,460.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.