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Finding the Third Proportional to 2,648,055 and 5,669,358

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Solution

The third proportional to 2,648,055 and 5,669,358 is: 12,137,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,055 : 5,669,358 = 5,669,358 : x
  2. Step 2: Convert to fraction form
    2,648,055/5,669,358 = 5,669,358/x
  3. Step 3: Cross multiply
    2,648,055x = 5,669,358 × 5,669,358
  4. Step 4: Simplify right side
    2,648,055x = 32,141,620,132,164
  5. Step 5: Solve for x
    x = 32,141,620,132,164/2,648,055
  6. Step 6: Final answer
    x = 12,137,821.96

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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.