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Finding the Third Proportional to 31,834,224 and 68,210,604

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Solution

The third proportional to 31,834,224 and 68,210,604 is: 146,153,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,224 : 68,210,604 = 68,210,604 : x
  2. Step 2: Convert to fraction form
    31,834,224/68,210,604 = 68,210,604/x
  3. Step 3: Cross multiply
    31,834,224x = 68,210,604 × 68,210,604
  4. Step 4: Simplify right side
    31,834,224x = 4,652,686,498,044,816
  5. Step 5: Solve for x
    x = 4,652,686,498,044,816/31,834,224
  6. Step 6: Final answer
    x = 146,153,601.80

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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.