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Finding the Third Proportional to 6,418,048 and 14,095,624

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Solution

The third proportional to 6,418,048 and 14,095,624 is: 30,957,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,048 : 14,095,624 = 14,095,624 : x
  2. Step 2: Convert to fraction form
    6,418,048/14,095,624 = 14,095,624/x
  3. Step 3: Cross multiply
    6,418,048x = 14,095,624 × 14,095,624
  4. Step 4: Simplify right side
    6,418,048x = 198,686,615,949,376
  5. Step 5: Solve for x
    x = 198,686,615,949,376/6,418,048
  6. Step 6: Final answer
    x = 30,957,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.