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Finding the Third Proportional to 51,213,780 and 112,642,750

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Solution

The third proportional to 51,213,780 and 112,642,750 is: 247,753,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213,780 : 112,642,750 = 112,642,750 : x
  2. Step 2: Convert to fraction form
    51,213,780/112,642,750 = 112,642,750/x
  3. Step 3: Cross multiply
    51,213,780x = 112,642,750 × 112,642,750
  4. Step 4: Simplify right side
    51,213,780x = 12,688,389,127,562,500
  5. Step 5: Solve for x
    x = 12,688,389,127,562,500/51,213,780
  6. Step 6: Final answer
    x = 247,753,419.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.