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Finding the Third Proportional to 14,389,445,780 and 32,087,491,444

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Solution

The third proportional to 14,389,445,780 and 32,087,491,444 is: 71,552,936,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389,445,780 : 32,087,491,444 = 32,087,491,444 : x
  2. Step 2: Convert to fraction form
    14,389,445,780/32,087,491,444 = 32,087,491,444/x
  3. Step 3: Cross multiply
    14,389,445,780x = 32,087,491,444 × 32,087,491,444
  4. Step 4: Simplify right side
    14,389,445,780x = 1,029,607,107,168,773,210,112
  5. Step 5: Solve for x
    x = 1,029,607,107,168,773,210,112/14,389,445,780
  6. Step 6: Final answer
    x = 71,552,936,986.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.