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Finding the Third Proportional to 4,319,109 and 9,999,001

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Solution

The third proportional to 4,319,109 and 9,999,001 is: 23,148,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319,109 : 9,999,001 = 9,999,001 : x
  2. Step 2: Convert to fraction form
    4,319,109/9,999,001 = 9,999,001/x
  3. Step 3: Cross multiply
    4,319,109x = 9,999,001 × 9,999,001
  4. Step 4: Simplify right side
    4,319,109x = 99,980,020,998,001
  5. Step 5: Solve for x
    x = 99,980,020,998,001/4,319,109
  6. Step 6: Final answer
    x = 23,148,297.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.