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Finding the Third Proportional to 52,028,865,180 and 82,788,152,697

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Solution

The third proportional to 52,028,865,180 and 82,788,152,697 is: 131,732,226,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028,865,180 : 82,788,152,697 = 82,788,152,697 : x
  2. Step 2: Convert to fraction form
    52,028,865,180/82,788,152,697 = 82,788,152,697/x
  3. Step 3: Cross multiply
    52,028,865,180x = 82,788,152,697 × 82,788,152,697
  4. Step 4: Simplify right side
    52,028,865,180x = 6,853,878,226,981,788,581,888
  5. Step 5: Solve for x
    x = 6,853,878,226,981,788,581,888/52,028,865,180
  6. Step 6: Final answer
    x = 131,732,226,010.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.