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Finding the Third Proportional to 3,893,593,853,907 and 5,723,755,689,730.40

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Solution

The third proportional to 3,893,593,853,907 and 5,723,755,689,730.40 is: 8,414,174,776,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893,593,853,907 : 5,723,755,689,730.40 = 5,723,755,689,730.40 : x
  2. Step 2: Convert to fraction form
    3,893,593,853,907/5,723,755,689,730.40 = 5,723,755,689,730.40/x
  3. Step 3: Cross multiply
    3,893,593,853,907x = 5,723,755,689,730.40 × 5,723,755,689,730.40
  4. Step 4: Simplify right side
    3,893,593,853,907x = 32,761,379,195,721,132,560,875,520
  5. Step 5: Solve for x
    x = 32,761,379,195,721,132,560,875,520/3,893,593,853,907
  6. Step 6: Final answer
    x = 8,414,174,776,562.01

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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.