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Finding the Third Proportional to 824,372,642 and 1,777,881,784

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Solution

The third proportional to 824,372,642 and 1,777,881,784 is: 3,834,265,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,642 : 1,777,881,784 = 1,777,881,784 : x
  2. Step 2: Convert to fraction form
    824,372,642/1,777,881,784 = 1,777,881,784/x
  3. Step 3: Cross multiply
    824,372,642x = 1,777,881,784 × 1,777,881,784
  4. Step 4: Simplify right side
    824,372,642x = 3,160,863,637,879,022,592
  5. Step 5: Solve for x
    x = 3,160,863,637,879,022,592/824,372,642
  6. Step 6: Final answer
    x = 3,834,265,569.77

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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.