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Finding the Third Proportional to 7,085,670 and 11,001,753

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Solution

The third proportional to 7,085,670 and 11,001,753 is: 17,082,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,670 : 11,001,753 = 11,001,753 : x
  2. Step 2: Convert to fraction form
    7,085,670/11,001,753 = 11,001,753/x
  3. Step 3: Cross multiply
    7,085,670x = 11,001,753 × 11,001,753
  4. Step 4: Simplify right side
    7,085,670x = 121,038,569,073,009
  5. Step 5: Solve for x
    x = 121,038,569,073,009/7,085,670
  6. Step 6: Final answer
    x = 17,082,162.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.