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Finding the Third Proportional to 40,402,936 and 86,478,464

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Solution

The third proportional to 40,402,936 and 86,478,464 is: 185,098,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402,936 : 86,478,464 = 86,478,464 : x
  2. Step 2: Convert to fraction form
    40,402,936/86,478,464 = 86,478,464/x
  3. Step 3: Cross multiply
    40,402,936x = 86,478,464 × 86,478,464
  4. Step 4: Simplify right side
    40,402,936x = 7,478,524,735,799,296
  5. Step 5: Solve for x
    x = 7,478,524,735,799,296/40,402,936
  6. Step 6: Final answer
    x = 185,098,546.69

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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.