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Finding the Third Proportional to 3,971,659.50 and 6,137,066.25

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Solution

The third proportional to 3,971,659.50 and 6,137,066.25 is: 9,483,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,659.50 : 6,137,066.25 = 6,137,066.25 : x
  2. Step 2: Convert to fraction form
    3,971,659.50/6,137,066.25 = 6,137,066.25/x
  3. Step 3: Cross multiply
    3,971,659.50x = 6,137,066.25 × 6,137,066.25
  4. Step 4: Simplify right side
    3,971,659.50x = 37,663,582,156,889.06
  5. Step 5: Solve for x
    x = 37,663,582,156,889.06/3,971,659.50
  6. Step 6: Final answer
    x = 9,483,084.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.