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Finding the Third Proportional to 9,611,973 and 19,580,856.75

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Solution

The third proportional to 9,611,973 and 19,580,856.75 is: 39,888,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611,973 : 19,580,856.75 = 19,580,856.75 : x
  2. Step 2: Convert to fraction form
    9,611,973/19,580,856.75 = 19,580,856.75/x
  3. Step 3: Cross multiply
    9,611,973x = 19,580,856.75 × 19,580,856.75
  4. Step 4: Simplify right side
    9,611,973x = 383,409,951,064,020.56
  5. Step 5: Solve for x
    x = 383,409,951,064,020.56/9,611,973
  6. Step 6: Final answer
    x = 39,888,787.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.