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Finding the Third Proportional to 8,364,141.19 and 12,786,613.59

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Solution

The third proportional to 8,364,141.19 and 12,786,613.59 is: 19,547,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364,141.19 : 12,786,613.59 = 12,786,613.59 : x
  2. Step 2: Convert to fraction form
    8,364,141.19/12,786,613.59 = 12,786,613.59/x
  3. Step 3: Cross multiply
    8,364,141.19x = 12,786,613.59 × 12,786,613.59
  4. Step 4: Simplify right side
    8,364,141.19x = 163,497,487,195,872.28
  5. Step 5: Solve for x
    x = 163,497,487,195,872.28/8,364,141.19
  6. Step 6: Final answer
    x = 19,547,432.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.