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Finding the Third Proportional to 31,799,646 and 68,635,224

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Solution

The third proportional to 31,799,646 and 68,635,224 is: 148,139,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,799,646 : 68,635,224 = 68,635,224 : x
  2. Step 2: Convert to fraction form
    31,799,646/68,635,224 = 68,635,224/x
  3. Step 3: Cross multiply
    31,799,646x = 68,635,224 × 68,635,224
  4. Step 4: Simplify right side
    31,799,646x = 4,710,793,973,530,176
  5. Step 5: Solve for x
    x = 4,710,793,973,530,176/31,799,646
  6. Step 6: Final answer
    x = 148,139,824.37

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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.