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Finding the Third Proportional to 2,971,219.50 and 6,510,334.50

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Solution

The third proportional to 2,971,219.50 and 6,510,334.50 is: 14,265,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,219.50 : 6,510,334.50 = 6,510,334.50 : x
  2. Step 2: Convert to fraction form
    2,971,219.50/6,510,334.50 = 6,510,334.50/x
  3. Step 3: Cross multiply
    2,971,219.50x = 6,510,334.50 × 6,510,334.50
  4. Step 4: Simplify right side
    2,971,219.50x = 42,384,455,301,890.25
  5. Step 5: Solve for x
    x = 42,384,455,301,890.25/2,971,219.50
  6. Step 6: Final answer
    x = 14,265,003.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.