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Finding the Third Proportional to 14,949,387 and 31,971,778

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Solution

The third proportional to 14,949,387 and 31,971,778 is: 68,377,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949,387 : 31,971,778 = 31,971,778 : x
  2. Step 2: Convert to fraction form
    14,949,387/31,971,778 = 31,971,778/x
  3. Step 3: Cross multiply
    14,949,387x = 31,971,778 × 31,971,778
  4. Step 4: Simplify right side
    14,949,387x = 1,022,194,588,481,284
  5. Step 5: Solve for x
    x = 1,022,194,588,481,284/14,949,387
  6. Step 6: Final answer
    x = 68,377,023.65

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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.