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Finding the Third Proportional to 824,372,447 and 1,777,881,398

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Solution

The third proportional to 824,372,447 and 1,777,881,398 is: 3,834,264,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,447 : 1,777,881,398 = 1,777,881,398 : x
  2. Step 2: Convert to fraction form
    824,372,447/1,777,881,398 = 1,777,881,398/x
  3. Step 3: Cross multiply
    824,372,447x = 1,777,881,398 × 1,777,881,398
  4. Step 4: Simplify right side
    824,372,447x = 3,160,862,265,354,434,560
  5. Step 5: Solve for x
    x = 3,160,862,265,354,434,560/824,372,447
  6. Step 6: Final answer
    x = 3,834,264,811.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.