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Finding the Third Proportional to 6,845,031 and 10,246,223.25

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Solution

The third proportional to 6,845,031 and 10,246,223.25 is: 15,337,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845,031 : 10,246,223.25 = 10,246,223.25 : x
  2. Step 2: Convert to fraction form
    6,845,031/10,246,223.25 = 10,246,223.25/x
  3. Step 3: Cross multiply
    6,845,031x = 10,246,223.25 × 10,246,223.25
  4. Step 4: Simplify right side
    6,845,031x = 104,985,090,888,840.56
  5. Step 5: Solve for x
    x = 104,985,090,888,840.56/6,845,031
  6. Step 6: Final answer
    x = 15,337,416.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.