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Finding the Third Proportional to 7,868,287 and 16,932,319

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Solution

The third proportional to 7,868,287 and 16,932,319 is: 36,437,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868,287 : 16,932,319 = 16,932,319 : x
  2. Step 2: Convert to fraction form
    7,868,287/16,932,319 = 16,932,319/x
  3. Step 3: Cross multiply
    7,868,287x = 16,932,319 × 16,932,319
  4. Step 4: Simplify right side
    7,868,287x = 286,703,426,717,761
  5. Step 5: Solve for x
    x = 286,703,426,717,761/7,868,287
  6. Step 6: Final answer
    x = 36,437,845.58

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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.