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Finding the Third Proportional to 3,271,972 and 6,998,841

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Solution

The third proportional to 3,271,972 and 6,998,841 is: 14,970,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,972 : 6,998,841 = 6,998,841 : x
  2. Step 2: Convert to fraction form
    3,271,972/6,998,841 = 6,998,841/x
  3. Step 3: Cross multiply
    3,271,972x = 6,998,841 × 6,998,841
  4. Step 4: Simplify right side
    3,271,972x = 48,983,775,343,281
  5. Step 5: Solve for x
    x = 48,983,775,343,281/3,271,972
  6. Step 6: Final answer
    x = 14,970,719.60

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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.