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Finding the Third Proportional to 62,451,969 and 135,329,312

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Solution

The third proportional to 62,451,969 and 135,329,312 is: 293,249,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,451,969 : 135,329,312 = 135,329,312 : x
  2. Step 2: Convert to fraction form
    62,451,969/135,329,312 = 135,329,312/x
  3. Step 3: Cross multiply
    62,451,969x = 135,329,312 × 135,329,312
  4. Step 4: Simplify right side
    62,451,969x = 18,314,022,686,393,344
  5. Step 5: Solve for x
    x = 18,314,022,686,393,344/62,451,969
  6. Step 6: Final answer
    x = 293,249,724.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.