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Finding the Third Proportional to 5,707,720,998 and 8,732,174,057

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Solution

The third proportional to 5,707,720,998 and 8,732,174,057 is: 13,359,248,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,720,998 : 8,732,174,057 = 8,732,174,057 : x
  2. Step 2: Convert to fraction form
    5,707,720,998/8,732,174,057 = 8,732,174,057/x
  3. Step 3: Cross multiply
    5,707,720,998x = 8,732,174,057 × 8,732,174,057
  4. Step 4: Simplify right side
    5,707,720,998x = 76,250,863,761,743,839,232
  5. Step 5: Solve for x
    x = 76,250,863,761,743,839,232/5,707,720,998
  6. Step 6: Final answer
    x = 13,359,248,601.76

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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.