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Finding the Third Proportional to 4,631,012,872,693 and 7,006,080,479,975

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Solution

The third proportional to 4,631,012,872,693 and 7,006,080,479,975 is: 10,599,228,514,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,012,872,693 : 7,006,080,479,975 = 7,006,080,479,975 : x
  2. Step 2: Convert to fraction form
    4,631,012,872,693/7,006,080,479,975 = 7,006,080,479,975/x
  3. Step 3: Cross multiply
    4,631,012,872,693x = 7,006,080,479,975 × 7,006,080,479,975
  4. Step 4: Simplify right side
    4,631,012,872,693x = 49,085,163,691,886,725,717,557,248
  5. Step 5: Solve for x
    x = 49,085,163,691,886,725,717,557,248/4,631,012,872,693
  6. Step 6: Final answer
    x = 10,599,228,514,634.42

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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.