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Finding the Third Proportional to 14,785,424,964,310 and 31,605,625,560,716

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Solution

The third proportional to 14,785,424,964,310 and 31,605,625,560,716 is: 67,560,828,957,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785,424,964,310 : 31,605,625,560,716 = 31,605,625,560,716 : x
  2. Step 2: Convert to fraction form
    14,785,424,964,310/31,605,625,560,716 = 31,605,625,560,716/x
  3. Step 3: Cross multiply
    14,785,424,964,310x = 31,605,625,560,716 × 31,605,625,560,716
  4. Step 4: Simplify right side
    14,785,424,964,310x = 998,915,567,084,184,502,475,423,744
  5. Step 5: Solve for x
    x = 998,915,567,084,184,502,475,423,744/14,785,424,964,310
  6. Step 6: Final answer
    x = 67,560,828,957,938.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.