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Finding the Third Proportional to 6,680,695.50 and 14,306,176.13

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Solution

The third proportional to 6,680,695.50 and 14,306,176.13 is: 30,635,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,695.50 : 14,306,176.13 = 14,306,176.13 : x
  2. Step 2: Convert to fraction form
    6,680,695.50/14,306,176.13 = 14,306,176.13/x
  3. Step 3: Cross multiply
    6,680,695.50x = 14,306,176.13 × 14,306,176.13
  4. Step 4: Simplify right side
    6,680,695.50x = 204,666,675,319,520
  5. Step 5: Solve for x
    x = 204,666,675,319,520/6,680,695.50
  6. Step 6: Final answer
    x = 30,635,534.18

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