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Finding the Third Proportional to 1,251,379,232 and 1,893,175,072

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Solution

The third proportional to 1,251,379,232 and 1,893,175,072 is: 2,864,129,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,379,232 : 1,893,175,072 = 1,893,175,072 : x
  2. Step 2: Convert to fraction form
    1,251,379,232/1,893,175,072 = 1,893,175,072/x
  3. Step 3: Cross multiply
    1,251,379,232x = 1,893,175,072 × 1,893,175,072
  4. Step 4: Simplify right side
    1,251,379,232x = 3,584,111,853,242,205,184
  5. Step 5: Solve for x
    x = 3,584,111,853,242,205,184/1,251,379,232
  6. Step 6: Final answer
    x = 2,864,129,243.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.