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Finding the Third Proportional to 6,478,207.50 and 14,176,767

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Solution

The third proportional to 6,478,207.50 and 14,176,767 is: 31,024,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,207.50 : 14,176,767 = 14,176,767 : x
  2. Step 2: Convert to fraction form
    6,478,207.50/14,176,767 = 14,176,767/x
  3. Step 3: Cross multiply
    6,478,207.50x = 14,176,767 × 14,176,767
  4. Step 4: Simplify right side
    6,478,207.50x = 200,980,722,572,289
  5. Step 5: Solve for x
    x = 200,980,722,572,289/6,478,207.50
  6. Step 6: Final answer
    x = 31,024,125.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.