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Finding the Third Proportional to 5,313,681 and 11,383,254

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Solution

The third proportional to 5,313,681 and 11,383,254 is: 24,385,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313,681 : 11,383,254 = 11,383,254 : x
  2. Step 2: Convert to fraction form
    5,313,681/11,383,254 = 11,383,254/x
  3. Step 3: Cross multiply
    5,313,681x = 11,383,254 × 11,383,254
  4. Step 4: Simplify right side
    5,313,681x = 129,578,471,628,516
  5. Step 5: Solve for x
    x = 129,578,471,628,516/5,313,681
  6. Step 6: Final answer
    x = 24,385,820.61

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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.