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Finding the Third Proportional to 5,615,762 and 12,128,176

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Solution

The third proportional to 5,615,762 and 12,128,176 is: 26,192,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615,762 : 12,128,176 = 12,128,176 : x
  2. Step 2: Convert to fraction form
    5,615,762/12,128,176 = 12,128,176/x
  3. Step 3: Cross multiply
    5,615,762x = 12,128,176 × 12,128,176
  4. Step 4: Simplify right side
    5,615,762x = 147,092,653,086,976
  5. Step 5: Solve for x
    x = 147,092,653,086,976/5,615,762
  6. Step 6: Final answer
    x = 26,192,821.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.