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Finding the Third Proportional to 27,488,970 and 40,392,001.69

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Solution

The third proportional to 27,488,970 and 40,392,001.69 is: 59,351,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488,970 : 40,392,001.69 = 40,392,001.69 : x
  2. Step 2: Convert to fraction form
    27,488,970/40,392,001.69 = 40,392,001.69/x
  3. Step 3: Cross multiply
    27,488,970x = 40,392,001.69 × 40,392,001.69
  4. Step 4: Simplify right side
    27,488,970x = 1,631,513,800,323,002.75
  5. Step 5: Solve for x
    x = 1,631,513,800,323,002.75/27,488,970
  6. Step 6: Final answer
    x = 59,351,579.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.