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Finding the Third Proportional to 12,079,664,717,022 and 26,498,014,732,368

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Solution

The third proportional to 12,079,664,717,022 and 26,498,014,732,368 is: 58,126,181,579,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079,664,717,022 : 26,498,014,732,368 = 26,498,014,732,368 : x
  2. Step 2: Convert to fraction form
    12,079,664,717,022/26,498,014,732,368 = 26,498,014,732,368/x
  3. Step 3: Cross multiply
    12,079,664,717,022x = 26,498,014,732,368 × 26,498,014,732,368
  4. Step 4: Simplify right side
    12,079,664,717,022x = 702,144,784,756,791,528,306,769,920
  5. Step 5: Solve for x
    x = 702,144,784,756,791,528,306,769,920/12,079,664,717,022
  6. Step 6: Final answer
    x = 58,126,181,579,143.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.