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Finding the Third Proportional to 3,138,733.13 and 4,731,184.69

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Solution

The third proportional to 3,138,733.13 and 4,731,184.69 is: 7,131,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,733.13 : 4,731,184.69 = 4,731,184.69 : x
  2. Step 2: Convert to fraction form
    3,138,733.13/4,731,184.69 = 4,731,184.69/x
  3. Step 3: Cross multiply
    3,138,733.13x = 4,731,184.69 × 4,731,184.69
  4. Step 4: Simplify right side
    3,138,733.13x = 22,384,108,547,234.47
  5. Step 5: Solve for x
    x = 22,384,108,547,234.47/3,138,733.13
  6. Step 6: Final answer
    x = 7,131,574.32

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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.