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Finding the Third Proportional to 52,812,684 and 80,788,320

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Solution

The third proportional to 52,812,684 and 80,788,320 is: 123,583,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,812,684 : 80,788,320 = 80,788,320 : x
  2. Step 2: Convert to fraction form
    52,812,684/80,788,320 = 80,788,320/x
  3. Step 3: Cross multiply
    52,812,684x = 80,788,320 × 80,788,320
  4. Step 4: Simplify right side
    52,812,684x = 6,526,752,648,422,400
  5. Step 5: Solve for x
    x = 6,526,752,648,422,400/52,812,684
  6. Step 6: Final answer
    x = 123,583,051.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.