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Finding the Third Proportional to 2,614,668.19 and 5,692,332.38

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Solution

The third proportional to 2,614,668.19 and 5,692,332.38 is: 12,392,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,668.19 : 5,692,332.38 = 5,692,332.38 : x
  2. Step 2: Convert to fraction form
    2,614,668.19/5,692,332.38 = 5,692,332.38/x
  3. Step 3: Cross multiply
    2,614,668.19x = 5,692,332.38 × 5,692,332.38
  4. Step 4: Simplify right side
    2,614,668.19x = 32,402,647,867,473.14
  5. Step 5: Solve for x
    x = 32,402,647,867,473.14/2,614,668.19
  6. Step 6: Final answer
    x = 12,392,642.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.