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Finding the Third Proportional to 3,097,806 and 6,564,864

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Solution

The third proportional to 3,097,806 and 6,564,864 is: 13,912,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,806 : 6,564,864 = 6,564,864 : x
  2. Step 2: Convert to fraction form
    3,097,806/6,564,864 = 6,564,864/x
  3. Step 3: Cross multiply
    3,097,806x = 6,564,864 × 6,564,864
  4. Step 4: Simplify right side
    3,097,806x = 43,097,439,338,496
  5. Step 5: Solve for x
    x = 43,097,439,338,496/3,097,806
  6. Step 6: Final answer
    x = 13,912,246.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.