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Finding the Third Proportional to 1,471,843,284.75 and 3,229,665,129

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Solution

The third proportional to 1,471,843,284.75 and 3,229,665,129 is: 7,086,852,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,843,284.75 : 3,229,665,129 = 3,229,665,129 : x
  2. Step 2: Convert to fraction form
    1,471,843,284.75/3,229,665,129 = 3,229,665,129/x
  3. Step 3: Cross multiply
    1,471,843,284.75x = 3,229,665,129 × 3,229,665,129
  4. Step 4: Simplify right side
    1,471,843,284.75x = 10,430,736,845,478,586,368
  5. Step 5: Solve for x
    x = 10,430,736,845,478,586,368/1,471,843,284.75
  6. Step 6: Final answer
    x = 7,086,852,896.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.