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Finding the Third Proportional to 6,680,823 and 14,306,403

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Solution

The third proportional to 6,680,823 and 14,306,403 is: 30,635,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,823 : 14,306,403 = 14,306,403 : x
  2. Step 2: Convert to fraction form
    6,680,823/14,306,403 = 14,306,403/x
  3. Step 3: Cross multiply
    6,680,823x = 14,306,403 × 14,306,403
  4. Step 4: Simplify right side
    6,680,823x = 204,673,166,798,409
  5. Step 5: Solve for x
    x = 204,673,166,798,409/6,680,823
  6. Step 6: Final answer
    x = 30,635,921.17

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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.