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Finding the Third Proportional to 3,023,275 and 6,577,970

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Solution

The third proportional to 3,023,275 and 6,577,970 is: 14,312,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,275 : 6,577,970 = 6,577,970 : x
  2. Step 2: Convert to fraction form
    3,023,275/6,577,970 = 6,577,970/x
  3. Step 3: Cross multiply
    3,023,275x = 6,577,970 × 6,577,970
  4. Step 4: Simplify right side
    3,023,275x = 43,269,689,320,900
  5. Step 5: Solve for x
    x = 43,269,689,320,900/3,023,275
  6. Step 6: Final answer
    x = 14,312,191.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.