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Finding the Third Proportional to 15,237,624 and 32,541,784

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Solution

The third proportional to 15,237,624 and 32,541,784 is: 69,496,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237,624 : 32,541,784 = 32,541,784 : x
  2. Step 2: Convert to fraction form
    15,237,624/32,541,784 = 32,541,784/x
  3. Step 3: Cross multiply
    15,237,624x = 32,541,784 × 32,541,784
  4. Step 4: Simplify right side
    15,237,624x = 1,058,967,705,902,656
  5. Step 5: Solve for x
    x = 1,058,967,705,902,656/15,237,624
  6. Step 6: Final answer
    x = 69,496,904.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.