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Finding the Third Proportional to 9,487,986,816,802 and 13,361,176,205,850

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Solution

The third proportional to 9,487,986,816,802 and 13,361,176,205,850 is: 18,815,480,359,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487,986,816,802 : 13,361,176,205,850 = 13,361,176,205,850 : x
  2. Step 2: Convert to fraction form
    9,487,986,816,802/13,361,176,205,850 = 13,361,176,205,850/x
  3. Step 3: Cross multiply
    9,487,986,816,802x = 13,361,176,205,850 × 13,361,176,205,850
  4. Step 4: Simplify right side
    9,487,986,816,802x = 178,521,029,603,772,217,478,348,800
  5. Step 5: Solve for x
    x = 178,521,029,603,772,217,478,348,800/9,487,986,816,802
  6. Step 6: Final answer
    x = 18,815,480,359,609.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.