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Finding the Third Proportional to 824,372,718 and 1,777,881,946

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Solution

The third proportional to 824,372,718 and 1,777,881,946 is: 3,834,265,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,718 : 1,777,881,946 = 1,777,881,946 : x
  2. Step 2: Convert to fraction form
    824,372,718/1,777,881,946 = 1,777,881,946/x
  3. Step 3: Cross multiply
    824,372,718x = 1,777,881,946 × 1,777,881,946
  4. Step 4: Simplify right side
    824,372,718x = 3,160,864,213,912,747,008
  5. Step 5: Solve for x
    x = 3,160,864,213,912,747,008/824,372,718
  6. Step 6: Final answer
    x = 3,834,265,915.04

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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.