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Finding the Third Proportional to 9,483,714 and 20,766,276

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Solution

The third proportional to 9,483,714 and 20,766,276 is: 45,471,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483,714 : 20,766,276 = 20,766,276 : x
  2. Step 2: Convert to fraction form
    9,483,714/20,766,276 = 20,766,276/x
  3. Step 3: Cross multiply
    9,483,714x = 20,766,276 × 20,766,276
  4. Step 4: Simplify right side
    9,483,714x = 431,238,218,908,176
  5. Step 5: Solve for x
    x = 431,238,218,908,176/9,483,714
  6. Step 6: Final answer
    x = 45,471,449.15

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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.