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Finding the Third Proportional to 52,500,802 and 82,170,700

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Solution

The third proportional to 52,500,802 and 82,170,700 is: 128,608,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500,802 : 82,170,700 = 82,170,700 : x
  2. Step 2: Convert to fraction form
    52,500,802/82,170,700 = 82,170,700/x
  3. Step 3: Cross multiply
    52,500,802x = 82,170,700 × 82,170,700
  4. Step 4: Simplify right side
    52,500,802x = 6,752,023,938,490,000
  5. Step 5: Solve for x
    x = 6,752,023,938,490,000/52,500,802
  6. Step 6: Final answer
    x = 128,608,015.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.