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Finding the Third Proportional to 1,274,473,002 and 1,968,309,060

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Solution

The third proportional to 1,274,473,002 and 1,968,309,060 is: 3,039,876,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,473,002 : 1,968,309,060 = 1,968,309,060 : x
  2. Step 2: Convert to fraction form
    1,274,473,002/1,968,309,060 = 1,968,309,060/x
  3. Step 3: Cross multiply
    1,274,473,002x = 1,968,309,060 × 1,968,309,060
  4. Step 4: Simplify right side
    1,274,473,002x = 3,874,240,555,678,083,584
  5. Step 5: Solve for x
    x = 3,874,240,555,678,083,584/1,274,473,002
  6. Step 6: Final answer
    x = 3,039,876,521.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.