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Finding the Third Proportional to 12,877,317 and 27,289,746

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Solution

The third proportional to 12,877,317 and 27,289,746 is: 57,832,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,317 : 27,289,746 = 27,289,746 : x
  2. Step 2: Convert to fraction form
    12,877,317/27,289,746 = 27,289,746/x
  3. Step 3: Cross multiply
    12,877,317x = 27,289,746 × 27,289,746
  4. Step 4: Simplify right side
    12,877,317x = 744,730,236,744,516
  5. Step 5: Solve for x
    x = 744,730,236,744,516/12,877,317
  6. Step 6: Final answer
    x = 57,832,717.54

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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.