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Finding the Third Proportional to 6,877,947.94 and 14,575,200.75

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Solution

The third proportional to 6,877,947.94 and 14,575,200.75 is: 30,886,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877,947.94 : 14,575,200.75 = 14,575,200.75 : x
  2. Step 2: Convert to fraction form
    6,877,947.94/14,575,200.75 = 14,575,200.75/x
  3. Step 3: Cross multiply
    6,877,947.94x = 14,575,200.75 × 14,575,200.75
  4. Step 4: Simplify right side
    6,877,947.94x = 212,436,476,902,800.56
  5. Step 5: Solve for x
    x = 212,436,476,902,800.56/6,877,947.94
  6. Step 6: Final answer
    x = 30,886,607.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.