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Finding the Third Proportional to 9,032,885,384 and 19,566,756,976

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Solution

The third proportional to 9,032,885,384 and 19,566,756,976 is: 42,384,903,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032,885,384 : 19,566,756,976 = 19,566,756,976 : x
  2. Step 2: Convert to fraction form
    9,032,885,384/19,566,756,976 = 19,566,756,976/x
  3. Step 3: Cross multiply
    9,032,885,384x = 19,566,756,976 × 19,566,756,976
  4. Step 4: Simplify right side
    9,032,885,384x = 382,857,978,557,844,684,800
  5. Step 5: Solve for x
    x = 382,857,978,557,844,684,800/9,032,885,384
  6. Step 6: Final answer
    x = 42,384,903,857.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.