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Finding the Third Proportional to 34,032,549 and 51,454,001

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Solution

The third proportional to 34,032,549 and 51,454,001 is: 77,793,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,549 : 51,454,001 = 51,454,001 : x
  2. Step 2: Convert to fraction form
    34,032,549/51,454,001 = 51,454,001/x
  3. Step 3: Cross multiply
    34,032,549x = 51,454,001 × 51,454,001
  4. Step 4: Simplify right side
    34,032,549x = 2,647,514,218,908,001
  5. Step 5: Solve for x
    x = 2,647,514,218,908,001/34,032,549
  6. Step 6: Final answer
    x = 77,793,591.63

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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.