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Finding the Third Proportional to 4,631,012,872,705 and 7,006,080,479,991

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Solution

The third proportional to 4,631,012,872,705 and 7,006,080,479,991 is: 10,599,228,514,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,012,872,705 : 7,006,080,479,991 = 7,006,080,479,991 : x
  2. Step 2: Convert to fraction form
    4,631,012,872,705/7,006,080,479,991 = 7,006,080,479,991/x
  3. Step 3: Cross multiply
    4,631,012,872,705x = 7,006,080,479,991 × 7,006,080,479,991
  4. Step 4: Simplify right side
    4,631,012,872,705x = 49,085,163,692,110,923,010,408,448
  5. Step 5: Solve for x
    x = 49,085,163,692,110,923,010,408,448/4,631,012,872,705
  6. Step 6: Final answer
    x = 10,599,228,514,655.37

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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.