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Finding the Third Proportional to 47,291,845.50 and 71,276,031

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Solution

The third proportional to 47,291,845.50 and 71,276,031 is: 107,423,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291,845.50 : 71,276,031 = 71,276,031 : x
  2. Step 2: Convert to fraction form
    47,291,845.50/71,276,031 = 71,276,031/x
  3. Step 3: Cross multiply
    47,291,845.50x = 71,276,031 × 71,276,031
  4. Step 4: Simplify right side
    47,291,845.50x = 5,080,272,595,112,961
  5. Step 5: Solve for x
    x = 5,080,272,595,112,961/47,291,845.50
  6. Step 6: Final answer
    x = 107,423,860.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.