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Finding the Third Proportional to 5,655,724 and 11,966,520

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Solution

The third proportional to 5,655,724 and 11,966,520 is: 25,319,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655,724 : 11,966,520 = 11,966,520 : x
  2. Step 2: Convert to fraction form
    5,655,724/11,966,520 = 11,966,520/x
  3. Step 3: Cross multiply
    5,655,724x = 11,966,520 × 11,966,520
  4. Step 4: Simplify right side
    5,655,724x = 143,197,600,910,400
  5. Step 5: Solve for x
    x = 143,197,600,910,400/5,655,724
  6. Step 6: Final answer
    x = 25,319,057.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.