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Finding the Third Proportional to 6,918,301.13 and 14,794,269.05

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Solution

The third proportional to 6,918,301.13 and 14,794,269.05 is: 31,636,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918,301.13 : 14,794,269.05 = 14,794,269.05 : x
  2. Step 2: Convert to fraction form
    6,918,301.13/14,794,269.05 = 14,794,269.05/x
  3. Step 3: Cross multiply
    6,918,301.13x = 14,794,269.05 × 14,794,269.05
  4. Step 4: Simplify right side
    6,918,301.13x = 218,870,396,631,323.72
  5. Step 5: Solve for x
    x = 218,870,396,631,323.72/6,918,301.13
  6. Step 6: Final answer
    x = 31,636,436.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.