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Finding the Third Proportional to 24,224,616.84 and 53,157,432.09

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Solution

The third proportional to 24,224,616.84 and 53,157,432.09 is: 116,646,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224,616.84 : 53,157,432.09 = 53,157,432.09 : x
  2. Step 2: Convert to fraction form
    24,224,616.84/53,157,432.09 = 53,157,432.09/x
  3. Step 3: Cross multiply
    24,224,616.84x = 53,157,432.09 × 53,157,432.09
  4. Step 4: Simplify right side
    24,224,616.84x = 2,825,712,586,801,642.50
  5. Step 5: Solve for x
    x = 2,825,712,586,801,642.50/24,224,616.84
  6. Step 6: Final answer
    x = 116,646,327.37

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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.