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Finding the Third Proportional to 8,191,326 and 12,718,594

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Solution

The third proportional to 8,191,326 and 12,718,594 is: 19,748,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,326 : 12,718,594 = 12,718,594 : x
  2. Step 2: Convert to fraction form
    8,191,326/12,718,594 = 12,718,594/x
  3. Step 3: Cross multiply
    8,191,326x = 12,718,594 × 12,718,594
  4. Step 4: Simplify right side
    8,191,326x = 161,762,633,336,836
  5. Step 5: Solve for x
    x = 161,762,633,336,836/8,191,326
  6. Step 6: Final answer
    x = 19,748,039.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.