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Finding the Third Proportional to 7,085,664 and 11,001,744

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Solution

The third proportional to 7,085,664 and 11,001,744 is: 17,082,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,664 : 11,001,744 = 11,001,744 : x
  2. Step 2: Convert to fraction form
    7,085,664/11,001,744 = 11,001,744/x
  3. Step 3: Cross multiply
    7,085,664x = 11,001,744 × 11,001,744
  4. Step 4: Simplify right side
    7,085,664x = 121,038,371,041,536
  5. Step 5: Solve for x
    x = 121,038,371,041,536/7,085,664
  6. Step 6: Final answer
    x = 17,082,149.40

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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.