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Finding the Third Proportional to 18,866,328,040 and 40,382,926,828

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Solution

The third proportional to 18,866,328,040 and 40,382,926,828 is: 86,438,695,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866,328,040 : 40,382,926,828 = 40,382,926,828 : x
  2. Step 2: Convert to fraction form
    18,866,328,040/40,382,926,828 = 40,382,926,828/x
  3. Step 3: Cross multiply
    18,866,328,040x = 40,382,926,828 × 40,382,926,828
  4. Step 4: Simplify right side
    18,866,328,040x = 1,630,780,779,195,602,042,880
  5. Step 5: Solve for x
    x = 1,630,780,779,195,602,042,880/18,866,328,040
  6. Step 6: Final answer
    x = 86,438,695,210.75

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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.