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Finding the Third Proportional to 1,572,194,016 and 3,365,243,928

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Solution

The third proportional to 1,572,194,016 and 3,365,243,928 is: 7,203,224,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,194,016 : 3,365,243,928 = 3,365,243,928 : x
  2. Step 2: Convert to fraction form
    1,572,194,016/3,365,243,928 = 3,365,243,928/x
  3. Step 3: Cross multiply
    1,572,194,016x = 3,365,243,928 × 3,365,243,928
  4. Step 4: Simplify right side
    1,572,194,016x = 11,324,866,694,940,868,608
  5. Step 5: Solve for x
    x = 11,324,866,694,940,868,608/1,572,194,016
  6. Step 6: Final answer
    x = 7,203,224,652.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.