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Finding the Third Proportional to 3,011,982 and 6,460,716

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Solution

The third proportional to 3,011,982 and 6,460,716 is: 13,858,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,982 : 6,460,716 = 6,460,716 : x
  2. Step 2: Convert to fraction form
    3,011,982/6,460,716 = 6,460,716/x
  3. Step 3: Cross multiply
    3,011,982x = 6,460,716 × 6,460,716
  4. Step 4: Simplify right side
    3,011,982x = 41,740,851,232,656
  5. Step 5: Solve for x
    x = 41,740,851,232,656/3,011,982
  6. Step 6: Final answer
    x = 13,858,267.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.