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Finding the Third Proportional to 3,241,053 and 6,962,494.50

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Solution

The third proportional to 3,241,053 and 6,962,494.50 is: 14,956,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241,053 : 6,962,494.50 = 6,962,494.50 : x
  2. Step 2: Convert to fraction form
    3,241,053/6,962,494.50 = 6,962,494.50/x
  3. Step 3: Cross multiply
    3,241,053x = 6,962,494.50 × 6,962,494.50
  4. Step 4: Simplify right side
    3,241,053x = 48,476,329,662,530.25
  5. Step 5: Solve for x
    x = 48,476,329,662,530.25/3,241,053
  6. Step 6: Final answer
    x = 14,956,969.13

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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.