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Finding the Third Proportional to 6,611,886 and 10,017,627.75

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Solution

The third proportional to 6,611,886 and 10,017,627.75 is: 15,177,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,886 : 10,017,627.75 = 10,017,627.75 : x
  2. Step 2: Convert to fraction form
    6,611,886/10,017,627.75 = 10,017,627.75/x
  3. Step 3: Cross multiply
    6,611,886x = 10,017,627.75 × 10,017,627.75
  4. Step 4: Simplify right side
    6,611,886x = 100,352,865,737,570.06
  5. Step 5: Solve for x
    x = 100,352,865,737,570.06/6,611,886
  6. Step 6: Final answer
    x = 15,177,646.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.