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Finding the Third Proportional to 14,389,445,954 and 32,087,491,756

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Solution

The third proportional to 14,389,445,954 and 32,087,491,756 is: 71,552,937,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389,445,954 : 32,087,491,756 = 32,087,491,756 : x
  2. Step 2: Convert to fraction form
    14,389,445,954/32,087,491,756 = 32,087,491,756/x
  3. Step 3: Cross multiply
    14,389,445,954x = 32,087,491,756 × 32,087,491,756
  4. Step 4: Simplify right side
    14,389,445,954x = 1,029,607,127,191,367,974,912
  5. Step 5: Solve for x
    x = 1,029,607,127,191,367,974,912/14,389,445,954
  6. Step 6: Final answer
    x = 71,552,937,512.87

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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.