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Finding the Third Proportional to 3,157,570.50 and 6,645,225

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Solution

The third proportional to 3,157,570.50 and 6,645,225 is: 13,985,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,570.50 : 6,645,225 = 6,645,225 : x
  2. Step 2: Convert to fraction form
    3,157,570.50/6,645,225 = 6,645,225/x
  3. Step 3: Cross multiply
    3,157,570.50x = 6,645,225 × 6,645,225
  4. Step 4: Simplify right side
    3,157,570.50x = 44,159,015,300,625
  5. Step 5: Solve for x
    x = 44,159,015,300,625/3,157,570.50
  6. Step 6: Final answer
    x = 13,985,124.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.