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Finding the Third Proportional to 8,191,328 and 12,718,597

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Solution

The third proportional to 8,191,328 and 12,718,597 is: 19,748,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,328 : 12,718,597 = 12,718,597 : x
  2. Step 2: Convert to fraction form
    8,191,328/12,718,597 = 12,718,597/x
  3. Step 3: Cross multiply
    8,191,328x = 12,718,597 × 12,718,597
  4. Step 4: Simplify right side
    8,191,328x = 161,762,709,648,409
  5. Step 5: Solve for x
    x = 161,762,709,648,409/8,191,328
  6. Step 6: Final answer
    x = 19,748,044.47

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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.