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Finding the Third Proportional to 824,372,534 and 1,777,881,566

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Solution

The third proportional to 824,372,534 and 1,777,881,566 is: 3,834,265,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,534 : 1,777,881,566 = 1,777,881,566 : x
  2. Step 2: Convert to fraction form
    824,372,534/1,777,881,566 = 1,777,881,566/x
  3. Step 3: Cross multiply
    824,372,534x = 1,777,881,566 × 1,777,881,566
  4. Step 4: Simplify right side
    824,372,534x = 3,160,862,862,722,612,224
  5. Step 5: Solve for x
    x = 3,160,862,862,722,612,224/824,372,534
  6. Step 6: Final answer
    x = 3,834,265,131.79

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