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Finding the Third Proportional to 24,672,397.50 and 53,463,462.75

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Solution

The third proportional to 24,672,397.50 and 53,463,462.75 is: 115,851,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672,397.50 : 53,463,462.75 = 53,463,462.75 : x
  2. Step 2: Convert to fraction form
    24,672,397.50/53,463,462.75 = 53,463,462.75/x
  3. Step 3: Cross multiply
    24,672,397.50x = 53,463,462.75 × 53,463,462.75
  4. Step 4: Simplify right side
    24,672,397.50x = 2,858,341,849,220,637.50
  5. Step 5: Solve for x
    x = 2,858,341,849,220,637.50/24,672,397.50
  6. Step 6: Final answer
    x = 115,851,807.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.