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Finding the Third Proportional to 1,293,710,165 and 2,814,091,728

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Solution

The third proportional to 1,293,710,165 and 2,814,091,728 is: 6,121,241,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,710,165 : 2,814,091,728 = 2,814,091,728 : x
  2. Step 2: Convert to fraction form
    1,293,710,165/2,814,091,728 = 2,814,091,728/x
  3. Step 3: Cross multiply
    1,293,710,165x = 2,814,091,728 × 2,814,091,728
  4. Step 4: Simplify right side
    1,293,710,165x = 7,919,112,253,598,025,728
  5. Step 5: Solve for x
    x = 7,919,112,253,598,025,728/1,293,710,165
  6. Step 6: Final answer
    x = 6,121,241,424.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.