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Finding the Third Proportional to 1,414,692,902 and 3,044,376,652

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Solution

The third proportional to 1,414,692,902 and 3,044,376,652 is: 6,551,407,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,692,902 : 3,044,376,652 = 3,044,376,652 : x
  2. Step 2: Convert to fraction form
    1,414,692,902/3,044,376,652 = 3,044,376,652/x
  3. Step 3: Cross multiply
    1,414,692,902x = 3,044,376,652 × 3,044,376,652
  4. Step 4: Simplify right side
    1,414,692,902x = 9,268,229,199,242,729,472
  5. Step 5: Solve for x
    x = 9,268,229,199,242,729,472/1,414,692,902
  6. Step 6: Final answer
    x = 6,551,407,154.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.