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Finding the Third Proportional to 5,660,948 and 11,846,776

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Solution

The third proportional to 5,660,948 and 11,846,776 is: 24,791,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660,948 : 11,846,776 = 11,846,776 : x
  2. Step 2: Convert to fraction form
    5,660,948/11,846,776 = 11,846,776/x
  3. Step 3: Cross multiply
    5,660,948x = 11,846,776 × 11,846,776
  4. Step 4: Simplify right side
    5,660,948x = 140,346,101,594,176
  5. Step 5: Solve for x
    x = 140,346,101,594,176/5,660,948
  6. Step 6: Final answer
    x = 24,791,978.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.