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Finding the Third Proportional to 4,544,722.69 and 9,727,810.17

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Solution

The third proportional to 4,544,722.69 and 9,727,810.17 is: 20,822,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,722.69 : 9,727,810.17 = 9,727,810.17 : x
  2. Step 2: Convert to fraction form
    4,544,722.69/9,727,810.17 = 9,727,810.17/x
  3. Step 3: Cross multiply
    4,544,722.69x = 9,727,810.17 × 9,727,810.17
  4. Step 4: Simplify right side
    4,544,722.69x = 94,630,290,740,034.72
  5. Step 5: Solve for x
    x = 94,630,290,740,034.72/4,544,722.69
  6. Step 6: Final answer
    x = 20,822,016.49

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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.