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Finding the Third Proportional to 4,544,725 and 9,727,814

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Solution

The third proportional to 4,544,725 and 9,727,814 is: 20,822,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,725 : 9,727,814 = 9,727,814 : x
  2. Step 2: Convert to fraction form
    4,544,725/9,727,814 = 9,727,814/x
  3. Step 3: Cross multiply
    4,544,725x = 9,727,814 × 9,727,814
  4. Step 4: Simplify right side
    4,544,725x = 94,630,365,218,596
  5. Step 5: Solve for x
    x = 94,630,365,218,596/4,544,725
  6. Step 6: Final answer
    x = 20,822,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.