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Finding the Third Proportional to 14,826,186 and 32,486,724

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Solution

The third proportional to 14,826,186 and 32,486,724 is: 71,184,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826,186 : 32,486,724 = 32,486,724 : x
  2. Step 2: Convert to fraction form
    14,826,186/32,486,724 = 32,486,724/x
  3. Step 3: Cross multiply
    14,826,186x = 32,486,724 × 32,486,724
  4. Step 4: Simplify right side
    14,826,186x = 1,055,387,236,252,176
  5. Step 5: Solve for x
    x = 1,055,387,236,252,176/14,826,186
  6. Step 6: Final answer
    x = 71,184,000.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.