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Finding the Third Proportional to 324,012,079.13 and 514,715,932.69

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Solution

The third proportional to 324,012,079.13 and 514,715,932.69 is: 817,662,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,012,079.13 : 514,715,932.69 = 514,715,932.69 : x
  2. Step 2: Convert to fraction form
    324,012,079.13/514,715,932.69 = 514,715,932.69/x
  3. Step 3: Cross multiply
    324,012,079.13x = 514,715,932.69 × 514,715,932.69
  4. Step 4: Simplify right side
    324,012,079.13x = 264,932,491,362,363,040
  5. Step 5: Solve for x
    x = 264,932,491,362,363,040/324,012,079.13
  6. Step 6: Final answer
    x = 817,662,391.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.