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Finding the Third Proportional to 12,430,914 and 27,119,838

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Solution

The third proportional to 12,430,914 and 27,119,838 is: 59,165,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430,914 : 27,119,838 = 27,119,838 : x
  2. Step 2: Convert to fraction form
    12,430,914/27,119,838 = 27,119,838/x
  3. Step 3: Cross multiply
    12,430,914x = 27,119,838 × 27,119,838
  4. Step 4: Simplify right side
    12,430,914x = 735,485,613,146,244
  5. Step 5: Solve for x
    x = 735,485,613,146,244/12,430,914
  6. Step 6: Final answer
    x = 59,165,851.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.