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Finding the Third Proportional to 3,014,869 and 6,502,413

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Solution

The third proportional to 3,014,869 and 6,502,413 is: 14,024,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014,869 : 6,502,413 = 6,502,413 : x
  2. Step 2: Convert to fraction form
    3,014,869/6,502,413 = 6,502,413/x
  3. Step 3: Cross multiply
    3,014,869x = 6,502,413 × 6,502,413
  4. Step 4: Simplify right side
    3,014,869x = 42,281,374,822,569
  5. Step 5: Solve for x
    x = 42,281,374,822,569/3,014,869
  6. Step 6: Final answer
    x = 14,024,282.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.