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Finding the Third Proportional to 12,877,074 and 27,289,422

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Solution

The third proportional to 12,877,074 and 27,289,422 is: 57,832,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,074 : 27,289,422 = 27,289,422 : x
  2. Step 2: Convert to fraction form
    12,877,074/27,289,422 = 27,289,422/x
  3. Step 3: Cross multiply
    12,877,074x = 27,289,422 × 27,289,422
  4. Step 4: Simplify right side
    12,877,074x = 744,712,553,094,084
  5. Step 5: Solve for x
    x = 744,712,553,094,084/12,877,074
  6. Step 6: Final answer
    x = 57,832,435.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.