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Finding the Third Proportional to 40,402,932 and 86,478,456

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Solution

The third proportional to 40,402,932 and 86,478,456 is: 185,098,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402,932 : 86,478,456 = 86,478,456 : x
  2. Step 2: Convert to fraction form
    40,402,932/86,478,456 = 86,478,456/x
  3. Step 3: Cross multiply
    40,402,932x = 86,478,456 × 86,478,456
  4. Step 4: Simplify right side
    40,402,932x = 7,478,523,352,143,936
  5. Step 5: Solve for x
    x = 7,478,523,352,143,936/40,402,932
  6. Step 6: Final answer
    x = 185,098,530.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.