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Finding the Third Proportional to 3,097,816 and 6,564,844

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Solution

The third proportional to 3,097,816 and 6,564,844 is: 13,912,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,816 : 6,564,844 = 6,564,844 : x
  2. Step 2: Convert to fraction form
    3,097,816/6,564,844 = 6,564,844/x
  3. Step 3: Cross multiply
    3,097,816x = 6,564,844 × 6,564,844
  4. Step 4: Simplify right side
    3,097,816x = 43,097,176,744,336
  5. Step 5: Solve for x
    x = 43,097,176,744,336/3,097,816
  6. Step 6: Final answer
    x = 13,912,116.39

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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.