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Finding the Third Proportional to 3,893,593,853,784 and 5,723,755,689,579

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Solution

The third proportional to 3,893,593,853,784 and 5,723,755,689,579 is: 8,414,174,776,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893,593,853,784 : 5,723,755,689,579 = 5,723,755,689,579 : x
  2. Step 2: Convert to fraction form
    3,893,593,853,784/5,723,755,689,579 = 5,723,755,689,579/x
  3. Step 3: Cross multiply
    3,893,593,853,784x = 5,723,755,689,579 × 5,723,755,689,579
  4. Step 4: Simplify right side
    3,893,593,853,784x = 32,761,379,193,987,975,817,986,048
  5. Step 5: Solve for x
    x = 32,761,379,193,987,975,817,986,048/3,893,593,853,784
  6. Step 6: Final answer
    x = 8,414,174,776,382.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.