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Finding the Third Proportional to 18,866,328,034.50 and 40,382,926,821

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Solution

The third proportional to 18,866,328,034.50 and 40,382,926,821 is: 86,438,695,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866,328,034.50 : 40,382,926,821 = 40,382,926,821 : x
  2. Step 2: Convert to fraction form
    18,866,328,034.50/40,382,926,821 = 40,382,926,821/x
  3. Step 3: Cross multiply
    18,866,328,034.50x = 40,382,926,821 × 40,382,926,821
  4. Step 4: Simplify right side
    18,866,328,034.50x = 1,630,780,778,630,241,058,816
  5. Step 5: Solve for x
    x = 1,630,780,778,630,241,058,816/18,866,328,034.50
  6. Step 6: Final answer
    x = 86,438,695,205.98

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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.