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Finding the Third Proportional to 31,972,510 and 70,322,312

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Solution

The third proportional to 31,972,510 and 70,322,312 is: 154,671,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972,510 : 70,322,312 = 70,322,312 : x
  2. Step 2: Convert to fraction form
    31,972,510/70,322,312 = 70,322,312/x
  3. Step 3: Cross multiply
    31,972,510x = 70,322,312 × 70,322,312
  4. Step 4: Simplify right side
    31,972,510x = 4,945,227,565,025,344
  5. Step 5: Solve for x
    x = 4,945,227,565,025,344/31,972,510
  6. Step 6: Final answer
    x = 154,671,233.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.