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Finding the Third Proportional to 54,508,749 and 83,783,701

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Solution

The third proportional to 54,508,749 and 83,783,701 is: 128,781,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,749 : 83,783,701 = 83,783,701 : x
  2. Step 2: Convert to fraction form
    54,508,749/83,783,701 = 83,783,701/x
  3. Step 3: Cross multiply
    54,508,749x = 83,783,701 × 83,783,701
  4. Step 4: Simplify right side
    54,508,749x = 7,019,708,553,257,401
  5. Step 5: Solve for x
    x = 7,019,708,553,257,401/54,508,749
  6. Step 6: Final answer
    x = 128,781,318.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.