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Finding the Third Proportional to 10,968,285 and 23,767,089

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Solution

The third proportional to 10,968,285 and 23,767,089 is: 51,500,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,285 : 23,767,089 = 23,767,089 : x
  2. Step 2: Convert to fraction form
    10,968,285/23,767,089 = 23,767,089/x
  3. Step 3: Cross multiply
    10,968,285x = 23,767,089 × 23,767,089
  4. Step 4: Simplify right side
    10,968,285x = 564,874,519,533,921
  5. Step 5: Solve for x
    x = 564,874,519,533,921/10,968,285
  6. Step 6: Final answer
    x = 51,500,714.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.