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Finding the Third Proportional to 8,600,907,149,908 and 18,428,616,251,648

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Solution

The third proportional to 8,600,907,149,908 and 18,428,616,251,648 is: 39,485,822,952,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600,907,149,908 : 18,428,616,251,648 = 18,428,616,251,648 : x
  2. Step 2: Convert to fraction form
    8,600,907,149,908/18,428,616,251,648 = 18,428,616,251,648/x
  3. Step 3: Cross multiply
    8,600,907,149,908x = 18,428,616,251,648 × 18,428,616,251,648
  4. Step 4: Simplify right side
    8,600,907,149,908x = 339,613,896,950,504,763,368,144,896
  5. Step 5: Solve for x
    x = 339,613,896,950,504,763,368,144,896/8,600,907,149,908
  6. Step 6: Final answer
    x = 39,485,822,952,307.70

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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.