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Finding the Third Proportional to 427,558,440 and 660,972,099

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Solution

The third proportional to 427,558,440 and 660,972,099 is: 1,021,811,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,558,440 : 660,972,099 = 660,972,099 : x
  2. Step 2: Convert to fraction form
    427,558,440/660,972,099 = 660,972,099/x
  3. Step 3: Cross multiply
    427,558,440x = 660,972,099 × 660,972,099
  4. Step 4: Simplify right side
    427,558,440x = 436,884,115,656,465,792
  5. Step 5: Solve for x
    x = 436,884,115,656,465,792/427,558,440
  6. Step 6: Final answer
    x = 1,021,811,464.31

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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.