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Finding the Third Proportional to 38,374,836 and 78,291,186

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Solution

The third proportional to 38,374,836 and 78,291,186 is: 159,727,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374,836 : 78,291,186 = 78,291,186 : x
  2. Step 2: Convert to fraction form
    38,374,836/78,291,186 = 78,291,186/x
  3. Step 3: Cross multiply
    38,374,836x = 78,291,186 × 78,291,186
  4. Step 4: Simplify right side
    38,374,836x = 6,129,509,805,286,596
  5. Step 5: Solve for x
    x = 6,129,509,805,286,596/38,374,836
  6. Step 6: Final answer
    x = 159,727,322.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.