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Finding the Third Proportional to 51,236,127 and 111,569,487

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Solution

The third proportional to 51,236,127 and 111,569,487 is: 242,948,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236,127 : 111,569,487 = 111,569,487 : x
  2. Step 2: Convert to fraction form
    51,236,127/111,569,487 = 111,569,487/x
  3. Step 3: Cross multiply
    51,236,127x = 111,569,487 × 111,569,487
  4. Step 4: Simplify right side
    51,236,127x = 12,447,750,429,443,168
  5. Step 5: Solve for x
    x = 12,447,750,429,443,168/51,236,127
  6. Step 6: Final answer
    x = 242,948,699.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.