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Finding the Third Proportional to 40,288,582 and 86,320,580

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Solution

The third proportional to 40,288,582 and 86,320,580 is: 184,946,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,288,582 : 86,320,580 = 86,320,580 : x
  2. Step 2: Convert to fraction form
    40,288,582/86,320,580 = 86,320,580/x
  3. Step 3: Cross multiply
    40,288,582x = 86,320,580 × 86,320,580
  4. Step 4: Simplify right side
    40,288,582x = 7,451,242,531,536,400
  5. Step 5: Solve for x
    x = 7,451,242,531,536,400/40,288,582
  6. Step 6: Final answer
    x = 184,946,755.67

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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.