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Finding the Third Proportional to 8,054,964 and 12,199,437

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Solution

The third proportional to 8,054,964 and 12,199,437 is: 18,476,341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054,964 : 12,199,437 = 12,199,437 : x
  2. Step 2: Convert to fraction form
    8,054,964/12,199,437 = 12,199,437/x
  3. Step 3: Cross multiply
    8,054,964x = 12,199,437 × 12,199,437
  4. Step 4: Simplify right side
    8,054,964x = 148,826,263,116,969
  5. Step 5: Solve for x
    x = 148,826,263,116,969/8,054,964
  6. Step 6: Final answer
    x = 18,476,341.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.