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Finding the Third Proportional to 12,877,319 and 27,289,750

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Solution

The third proportional to 12,877,319 and 27,289,750 is: 57,832,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,319 : 27,289,750 = 27,289,750 : x
  2. Step 2: Convert to fraction form
    12,877,319/27,289,750 = 27,289,750/x
  3. Step 3: Cross multiply
    12,877,319x = 27,289,750 × 27,289,750
  4. Step 4: Simplify right side
    12,877,319x = 744,730,455,062,500
  5. Step 5: Solve for x
    x = 744,730,455,062,500/12,877,319
  6. Step 6: Final answer
    x = 57,832,725.51

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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.