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Finding the Third Proportional to 1,920,760,178 and 4,283,165,356

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Solution

The third proportional to 1,920,760,178 and 4,283,165,356 is: 9,551,169,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,760,178 : 4,283,165,356 = 4,283,165,356 : x
  2. Step 2: Convert to fraction form
    1,920,760,178/4,283,165,356 = 4,283,165,356/x
  3. Step 3: Cross multiply
    1,920,760,178x = 4,283,165,356 × 4,283,165,356
  4. Step 4: Simplify right side
    1,920,760,178x = 18,345,505,466,838,605,824
  5. Step 5: Solve for x
    x = 18,345,505,466,838,605,824/1,920,760,178
  6. Step 6: Final answer
    x = 9,551,169,207.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.