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Finding the Third Proportional to 5,812,947.84 and 12,514,303.69

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Solution

The third proportional to 5,812,947.84 and 12,514,303.69 is: 26,941,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,947.84 : 12,514,303.69 = 12,514,303.69 : x
  2. Step 2: Convert to fraction form
    5,812,947.84/12,514,303.69 = 12,514,303.69/x
  3. Step 3: Cross multiply
    5,812,947.84x = 12,514,303.69 × 12,514,303.69
  4. Step 4: Simplify right side
    5,812,947.84x = 156,607,796,782,976.09
  5. Step 5: Solve for x
    x = 156,607,796,782,976.09/5,812,947.84
  6. Step 6: Final answer
    x = 26,941,201.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.