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Finding the Third Proportional to 84,655,416 and 126,653,652

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Solution

The third proportional to 84,655,416 and 126,653,652 is: 189,487,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,655,416 : 126,653,652 = 126,653,652 : x
  2. Step 2: Convert to fraction form
    84,655,416/126,653,652 = 126,653,652/x
  3. Step 3: Cross multiply
    84,655,416x = 126,653,652 × 126,653,652
  4. Step 4: Simplify right side
    84,655,416x = 16,041,147,564,937,104
  5. Step 5: Solve for x
    x = 16,041,147,564,937,104/84,655,416
  6. Step 6: Final answer
    x = 189,487,552.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.