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Finding the Third Proportional to 6,822,870 and 14,708,568

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Solution

The third proportional to 6,822,870 and 14,708,568 is: 31,708,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822,870 : 14,708,568 = 14,708,568 : x
  2. Step 2: Convert to fraction form
    6,822,870/14,708,568 = 14,708,568/x
  3. Step 3: Cross multiply
    6,822,870x = 14,708,568 × 14,708,568
  4. Step 4: Simplify right side
    6,822,870x = 216,341,972,610,624
  5. Step 5: Solve for x
    x = 216,341,972,610,624/6,822,870
  6. Step 6: Final answer
    x = 31,708,353.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.