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Finding the Third Proportional to 36,778,532 and 78,040,141

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Solution

The third proportional to 36,778,532 and 78,040,141 is: 165,592,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778,532 : 78,040,141 = 78,040,141 : x
  2. Step 2: Convert to fraction form
    36,778,532/78,040,141 = 78,040,141/x
  3. Step 3: Cross multiply
    36,778,532x = 78,040,141 × 78,040,141
  4. Step 4: Simplify right side
    36,778,532x = 6,090,263,607,299,881
  5. Step 5: Solve for x
    x = 6,090,263,607,299,881/36,778,532
  6. Step 6: Final answer
    x = 165,592,895.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.