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Finding the Third Proportional to 1,415,817,182 and 1,968,580,623

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Solution

The third proportional to 1,415,817,182 and 1,968,580,623 is: 2,737,154,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,817,182 : 1,968,580,623 = 1,968,580,623 : x
  2. Step 2: Convert to fraction form
    1,415,817,182/1,968,580,623 = 1,968,580,623/x
  3. Step 3: Cross multiply
    1,415,817,182x = 1,968,580,623 × 1,968,580,623
  4. Step 4: Simplify right side
    1,415,817,182x = 3,875,309,669,251,067,904
  5. Step 5: Solve for x
    x = 3,875,309,669,251,067,904/1,415,817,182
  6. Step 6: Final answer
    x = 2,737,154,004.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.