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Finding the Third Proportional to 824,372,381 and 1,777,881,280

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Solution

The third proportional to 824,372,381 and 1,777,881,280 is: 3,834,264,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,381 : 1,777,881,280 = 1,777,881,280 : x
  2. Step 2: Convert to fraction form
    824,372,381/1,777,881,280 = 1,777,881,280/x
  3. Step 3: Cross multiply
    824,372,381x = 1,777,881,280 × 1,777,881,280
  4. Step 4: Simplify right side
    824,372,381x = 3,160,861,845,774,438,400
  5. Step 5: Solve for x
    x = 3,160,861,845,774,438,400/824,372,381
  6. Step 6: Final answer
    x = 3,834,264,609.81

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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.