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Finding the Third Proportional to 9,590,598 and 20,549,163

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Solution

The third proportional to 9,590,598 and 20,549,163 is: 44,029,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,598 : 20,549,163 = 20,549,163 : x
  2. Step 2: Convert to fraction form
    9,590,598/20,549,163 = 20,549,163/x
  3. Step 3: Cross multiply
    9,590,598x = 20,549,163 × 20,549,163
  4. Step 4: Simplify right side
    9,590,598x = 422,268,100,000,569
  5. Step 5: Solve for x
    x = 422,268,100,000,569/9,590,598
  6. Step 6: Final answer
    x = 44,029,381.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.