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Finding the Third Proportional to 6,616,545.75 and 14,332,303.13

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Solution

The third proportional to 6,616,545.75 and 14,332,303.13 is: 31,045,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616,545.75 : 14,332,303.13 = 14,332,303.13 : x
  2. Step 2: Convert to fraction form
    6,616,545.75/14,332,303.13 = 14,332,303.13/x
  3. Step 3: Cross multiply
    6,616,545.75x = 14,332,303.13 × 14,332,303.13
  4. Step 4: Simplify right side
    6,616,545.75x = 205,414,912,866,884.75
  5. Step 5: Solve for x
    x = 205,414,912,866,884.75/6,616,545.75
  6. Step 6: Final answer
    x = 31,045,642.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.