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Finding the Third Proportional to 824,372,448 and 1,777,881,400

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Solution

The third proportional to 824,372,448 and 1,777,881,400 is: 3,834,264,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,448 : 1,777,881,400 = 1,777,881,400 : x
  2. Step 2: Convert to fraction form
    824,372,448/1,777,881,400 = 1,777,881,400/x
  3. Step 3: Cross multiply
    824,372,448x = 1,777,881,400 × 1,777,881,400
  4. Step 4: Simplify right side
    824,372,448x = 3,160,862,272,465,959,936
  5. Step 5: Solve for x
    x = 3,160,862,272,465,959,936/824,372,448
  6. Step 6: Final answer
    x = 3,834,264,815.78

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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.