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Finding the Third Proportional to 9,991,423,287,866 and 13,480,776,006,555

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Solution

The third proportional to 9,991,423,287,866 and 13,480,776,006,555 is: 18,188,732,125,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,423,287,866 : 13,480,776,006,555 = 13,480,776,006,555 : x
  2. Step 2: Convert to fraction form
    9,991,423,287,866/13,480,776,006,555 = 13,480,776,006,555/x
  3. Step 3: Cross multiply
    9,991,423,287,866x = 13,480,776,006,555 × 13,480,776,006,555
  4. Step 4: Simplify right side
    9,991,423,287,866x = 181,731,321,738,908,980,696,055,808
  5. Step 5: Solve for x
    x = 181,731,321,738,908,980,696,055,808/9,991,423,287,866
  6. Step 6: Final answer
    x = 18,188,732,125,843.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.