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Finding the Third Proportional to 6,853,270 and 10,281,213

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Solution

The third proportional to 6,853,270 and 10,281,213 is: 15,423,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,270 : 10,281,213 = 10,281,213 : x
  2. Step 2: Convert to fraction form
    6,853,270/10,281,213 = 10,281,213/x
  3. Step 3: Cross multiply
    6,853,270x = 10,281,213 × 10,281,213
  4. Step 4: Simplify right side
    6,853,270x = 105,703,340,751,369
  5. Step 5: Solve for x
    x = 105,703,340,751,369/6,853,270
  6. Step 6: Final answer
    x = 15,423,781.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.