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Finding the Third Proportional to 7,600,564 and 16,721,226

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Solution

The third proportional to 7,600,564 and 16,721,226 is: 36,786,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600,564 : 16,721,226 = 16,721,226 : x
  2. Step 2: Convert to fraction form
    7,600,564/16,721,226 = 16,721,226/x
  3. Step 3: Cross multiply
    7,600,564x = 16,721,226 × 16,721,226
  4. Step 4: Simplify right side
    7,600,564x = 279,599,398,943,076
  5. Step 5: Solve for x
    x = 279,599,398,943,076/7,600,564
  6. Step 6: Final answer
    x = 36,786,664.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.