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Finding the Third Proportional to 8,264,841 and 13,031,127

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Solution

The third proportional to 8,264,841 and 13,031,127 is: 20,546,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264,841 : 13,031,127 = 13,031,127 : x
  2. Step 2: Convert to fraction form
    8,264,841/13,031,127 = 13,031,127/x
  3. Step 3: Cross multiply
    8,264,841x = 13,031,127 × 13,031,127
  4. Step 4: Simplify right side
    8,264,841x = 169,810,270,890,129
  5. Step 5: Solve for x
    x = 169,810,270,890,129/8,264,841
  6. Step 6: Final answer
    x = 20,546,102.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.