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Finding the Third Proportional to 8,654,514 and 13,704,201

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Solution

The third proportional to 8,654,514 and 13,704,201 is: 21,700,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654,514 : 13,704,201 = 13,704,201 : x
  2. Step 2: Convert to fraction form
    8,654,514/13,704,201 = 13,704,201/x
  3. Step 3: Cross multiply
    8,654,514x = 13,704,201 × 13,704,201
  4. Step 4: Simplify right side
    8,654,514x = 187,805,125,048,401
  5. Step 5: Solve for x
    x = 187,805,125,048,401/8,654,514
  6. Step 6: Final answer
    x = 21,700,250.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.