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Finding the Third Proportional to 427,558,446 and 660,972,108

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Solution

The third proportional to 427,558,446 and 660,972,108 is: 1,021,811,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,558,446 : 660,972,108 = 660,972,108 : x
  2. Step 2: Convert to fraction form
    427,558,446/660,972,108 = 660,972,108/x
  3. Step 3: Cross multiply
    427,558,446x = 660,972,108 × 660,972,108
  4. Step 4: Simplify right side
    427,558,446x = 436,884,127,553,963,648
  5. Step 5: Solve for x
    x = 436,884,127,553,963,648/427,558,446
  6. Step 6: Final answer
    x = 1,021,811,477.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.