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Finding the Third Proportional to 824,372,750 and 1,777,881,998

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Solution

The third proportional to 824,372,750 and 1,777,881,998 is: 3,834,265,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,750 : 1,777,881,998 = 1,777,881,998 : x
  2. Step 2: Convert to fraction form
    824,372,750/1,777,881,998 = 1,777,881,998/x
  3. Step 3: Cross multiply
    824,372,750x = 1,777,881,998 × 1,777,881,998
  4. Step 4: Simplify right side
    824,372,750x = 3,160,864,398,812,471,808
  5. Step 5: Solve for x
    x = 3,160,864,398,812,471,808/824,372,750
  6. Step 6: Final answer
    x = 3,834,265,990.49

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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.