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Finding the Third Proportional to 18,866,328,042 and 40,382,926,832

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Solution

The third proportional to 18,866,328,042 and 40,382,926,832 is: 86,438,695,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866,328,042 : 40,382,926,832 = 40,382,926,832 : x
  2. Step 2: Convert to fraction form
    18,866,328,042/40,382,926,832 = 40,382,926,832/x
  3. Step 3: Cross multiply
    18,866,328,042x = 40,382,926,832 × 40,382,926,832
  4. Step 4: Simplify right side
    18,866,328,042x = 1,630,780,779,518,665,687,040
  5. Step 5: Solve for x
    x = 1,630,780,779,518,665,687,040/18,866,328,042
  6. Step 6: Final answer
    x = 86,438,695,218.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.