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Finding the Third Proportional to 8,807,174,145,742 and 17,865,473,949,782

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Solution

The third proportional to 8,807,174,145,742 and 17,865,473,949,782 is: 36,240,359,753,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807,174,145,742 : 17,865,473,949,782 = 17,865,473,949,782 : x
  2. Step 2: Convert to fraction form
    8,807,174,145,742/17,865,473,949,782 = 17,865,473,949,782/x
  3. Step 3: Cross multiply
    8,807,174,145,742x = 17,865,473,949,782 × 17,865,473,949,782
  4. Step 4: Simplify right side
    8,807,174,145,742x = 319,175,159,450,339,261,976,412,160
  5. Step 5: Solve for x
    x = 319,175,159,450,339,261,976,412,160/8,807,174,145,742
  6. Step 6: Final answer
    x = 36,240,359,753,150.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.