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Finding the Third Proportional to 32,554,115,361 and 69,818,486,427

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Solution

The third proportional to 32,554,115,361 and 69,818,486,427 is: 149,739,011,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554,115,361 : 69,818,486,427 = 69,818,486,427 : x
  2. Step 2: Convert to fraction form
    32,554,115,361/69,818,486,427 = 69,818,486,427/x
  3. Step 3: Cross multiply
    32,554,115,361x = 69,818,486,427 × 69,818,486,427
  4. Step 4: Simplify right side
    32,554,115,361x = 4,874,621,046,957,182,812,160
  5. Step 5: Solve for x
    x = 4,874,621,046,957,182,812,160/32,554,115,361
  6. Step 6: Final answer
    x = 149,739,011,270.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.