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Finding the Third Proportional to 34,079,067 and 51,473,418

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Solution

The third proportional to 34,079,067 and 51,473,418 is: 77,746,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,079,067 : 51,473,418 = 51,473,418 : x
  2. Step 2: Convert to fraction form
    34,079,067/51,473,418 = 51,473,418/x
  3. Step 3: Cross multiply
    34,079,067x = 51,473,418 × 51,473,418
  4. Step 4: Simplify right side
    34,079,067x = 2,649,512,760,602,724
  5. Step 5: Solve for x
    x = 2,649,512,760,602,724/34,079,067
  6. Step 6: Final answer
    x = 77,746,047.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.