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Finding the Third Proportional to 7,868,285 and 16,932,315

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Solution

The third proportional to 7,868,285 and 16,932,315 is: 36,437,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868,285 : 16,932,315 = 16,932,315 : x
  2. Step 2: Convert to fraction form
    7,868,285/16,932,315 = 16,932,315/x
  3. Step 3: Cross multiply
    7,868,285x = 16,932,315 × 16,932,315
  4. Step 4: Simplify right side
    7,868,285x = 286,703,291,259,225
  5. Step 5: Solve for x
    x = 286,703,291,259,225/7,868,285
  6. Step 6: Final answer
    x = 36,437,837.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.