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Finding the Third Proportional to 1,414,692,900 and 3,044,376,648

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Solution

The third proportional to 1,414,692,900 and 3,044,376,648 is: 6,551,407,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,692,900 : 3,044,376,648 = 3,044,376,648 : x
  2. Step 2: Convert to fraction form
    1,414,692,900/3,044,376,648 = 3,044,376,648/x
  3. Step 3: Cross multiply
    1,414,692,900x = 3,044,376,648 × 3,044,376,648
  4. Step 4: Simplify right side
    1,414,692,900x = 9,268,229,174,887,716,864
  5. Step 5: Solve for x
    x = 9,268,229,174,887,716,864/1,414,692,900
  6. Step 6: Final answer
    x = 6,551,407,146.31

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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.