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Finding the Third Proportional to 20,226,024 and 29,582,091

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Solution

The third proportional to 20,226,024 and 29,582,091 is: 43,266,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226,024 : 29,582,091 = 29,582,091 : x
  2. Step 2: Convert to fraction form
    20,226,024/29,582,091 = 29,582,091/x
  3. Step 3: Cross multiply
    20,226,024x = 29,582,091 × 29,582,091
  4. Step 4: Simplify right side
    20,226,024x = 875,100,107,932,281
  5. Step 5: Solve for x
    x = 875,100,107,932,281/20,226,024
  6. Step 6: Final answer
    x = 43,266,047.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.