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Finding the Third Proportional to 5,031,006.13 and 7,845,444.75

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Solution

The third proportional to 5,031,006.13 and 7,845,444.75 is: 12,234,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031,006.13 : 7,845,444.75 = 7,845,444.75 : x
  2. Step 2: Convert to fraction form
    5,031,006.13/7,845,444.75 = 7,845,444.75/x
  3. Step 3: Cross multiply
    5,031,006.13x = 7,845,444.75 × 7,845,444.75
  4. Step 4: Simplify right side
    5,031,006.13x = 61,551,003,325,302.56
  5. Step 5: Solve for x
    x = 61,551,003,325,302.56/5,031,006.13
  6. Step 6: Final answer
    x = 12,234,332.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.