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Finding the Third Proportional to 7,488,047 and 16,170,561

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Solution

The third proportional to 7,488,047 and 16,170,561 is: 34,920,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488,047 : 16,170,561 = 16,170,561 : x
  2. Step 2: Convert to fraction form
    7,488,047/16,170,561 = 16,170,561/x
  3. Step 3: Cross multiply
    7,488,047x = 16,170,561 × 16,170,561
  4. Step 4: Simplify right side
    7,488,047x = 261,487,043,054,721
  5. Step 5: Solve for x
    x = 261,487,043,054,721/7,488,047
  6. Step 6: Final answer
    x = 34,920,593.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.