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Finding the Third Proportional to 12,295,328 and 19,755,216

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Solution

The third proportional to 12,295,328 and 19,755,216 is: 31,741,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295,328 : 19,755,216 = 19,755,216 : x
  2. Step 2: Convert to fraction form
    12,295,328/19,755,216 = 19,755,216/x
  3. Step 3: Cross multiply
    12,295,328x = 19,755,216 × 19,755,216
  4. Step 4: Simplify right side
    12,295,328x = 390,268,559,206,656
  5. Step 5: Solve for x
    x = 390,268,559,206,656/12,295,328
  6. Step 6: Final answer
    x = 31,741,207.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.