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Finding the Third Proportional to 5,657,650 and 12,219,259

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Solution

The third proportional to 5,657,650 and 12,219,259 is: 26,390,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657,650 : 12,219,259 = 12,219,259 : x
  2. Step 2: Convert to fraction form
    5,657,650/12,219,259 = 12,219,259/x
  3. Step 3: Cross multiply
    5,657,650x = 12,219,259 × 12,219,259
  4. Step 4: Simplify right side
    5,657,650x = 149,310,290,509,081
  5. Step 5: Solve for x
    x = 149,310,290,509,081/5,657,650
  6. Step 6: Final answer
    x = 26,390,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.