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Finding the Third Proportional to 10,323,904 and 15,977,922

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Solution

The third proportional to 10,323,904 and 15,977,922 is: 24,728,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323,904 : 15,977,922 = 15,977,922 : x
  2. Step 2: Convert to fraction form
    10,323,904/15,977,922 = 15,977,922/x
  3. Step 3: Cross multiply
    10,323,904x = 15,977,922 × 15,977,922
  4. Step 4: Simplify right side
    10,323,904x = 255,293,991,438,084
  5. Step 5: Solve for x
    x = 255,293,991,438,084/10,323,904
  6. Step 6: Final answer
    x = 24,728,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.