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Finding the Third Proportional to 4,138,776 and 9,047,376

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Solution

The third proportional to 4,138,776 and 9,047,376 is: 19,777,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,776 : 9,047,376 = 9,047,376 : x
  2. Step 2: Convert to fraction form
    4,138,776/9,047,376 = 9,047,376/x
  3. Step 3: Cross multiply
    4,138,776x = 9,047,376 × 9,047,376
  4. Step 4: Simplify right side
    4,138,776x = 81,855,012,485,376
  5. Step 5: Solve for x
    x = 81,855,012,485,376/4,138,776
  6. Step 6: Final answer
    x = 19,777,589.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.