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Finding the Third Proportional to 9,487,986,816,832 and 13,361,176,205,888

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Solution

The third proportional to 9,487,986,816,832 and 13,361,176,205,888 is: 18,815,480,359,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487,986,816,832 : 13,361,176,205,888 = 13,361,176,205,888 : x
  2. Step 2: Convert to fraction form
    9,487,986,816,832/13,361,176,205,888 = 13,361,176,205,888/x
  3. Step 3: Cross multiply
    9,487,986,816,832x = 13,361,176,205,888 × 13,361,176,205,888
  4. Step 4: Simplify right side
    9,487,986,816,832x = 178,521,029,604,787,650,826,338,304
  5. Step 5: Solve for x
    x = 178,521,029,604,787,650,826,338,304/9,487,986,816,832
  6. Step 6: Final answer
    x = 18,815,480,359,657.07

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1.5x scale

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.