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Finding the Third Proportional to 14,389,445,962 and 32,087,491,772

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Solution

The third proportional to 14,389,445,962 and 32,087,491,772 is: 71,552,937,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389,445,962 : 32,087,491,772 = 32,087,491,772 : x
  2. Step 2: Convert to fraction form
    14,389,445,962/32,087,491,772 = 32,087,491,772/x
  3. Step 3: Cross multiply
    14,389,445,962x = 32,087,491,772 × 32,087,491,772
  4. Step 4: Simplify right side
    14,389,445,962x = 1,029,607,128,218,167,672,832
  5. Step 5: Solve for x
    x = 1,029,607,128,218,167,672,832/14,389,445,962
  6. Step 6: Final answer
    x = 71,552,937,544.45

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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.