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Finding the Third Proportional to 31,834,098 and 68,206,768

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Solution

The third proportional to 31,834,098 and 68,206,768 is: 146,137,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,098 : 68,206,768 = 68,206,768 : x
  2. Step 2: Convert to fraction form
    31,834,098/68,206,768 = 68,206,768/x
  3. Step 3: Cross multiply
    31,834,098x = 68,206,768 × 68,206,768
  4. Step 4: Simplify right side
    31,834,098x = 4,652,163,201,005,824
  5. Step 5: Solve for x
    x = 4,652,163,201,005,824/31,834,098
  6. Step 6: Final answer
    x = 146,137,742.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.