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Finding the Third Proportional to 46,364,427 and 100,693,422

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Solution

The third proportional to 46,364,427 and 100,693,422 is: 218,684,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,364,427 : 100,693,422 = 100,693,422 : x
  2. Step 2: Convert to fraction form
    46,364,427/100,693,422 = 100,693,422/x
  3. Step 3: Cross multiply
    46,364,427x = 100,693,422 × 100,693,422
  4. Step 4: Simplify right side
    46,364,427x = 10,139,165,234,070,084
  5. Step 5: Solve for x
    x = 10,139,165,234,070,084/46,364,427
  6. Step 6: Final answer
    x = 218,684,148.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.