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Finding the Third Proportional to 7,683,039,542 and 17,132,657,848

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Solution

The third proportional to 7,683,039,542 and 17,132,657,848 is: 38,204,666,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683,039,542 : 17,132,657,848 = 17,132,657,848 : x
  2. Step 2: Convert to fraction form
    7,683,039,542/17,132,657,848 = 17,132,657,848/x
  3. Step 3: Cross multiply
    7,683,039,542x = 17,132,657,848 × 17,132,657,848
  4. Step 4: Simplify right side
    7,683,039,542x = 293,527,964,936,636,006,400
  5. Step 5: Solve for x
    x = 293,527,964,936,636,006,400/7,683,039,542
  6. Step 6: Final answer
    x = 38,204,666,698.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.