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Finding the Third Proportional to 10,350,724 and 22,460,768

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Solution

The third proportional to 10,350,724 and 22,460,768 is: 48,739,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350,724 : 22,460,768 = 22,460,768 : x
  2. Step 2: Convert to fraction form
    10,350,724/22,460,768 = 22,460,768/x
  3. Step 3: Cross multiply
    10,350,724x = 22,460,768 × 22,460,768
  4. Step 4: Simplify right side
    10,350,724x = 504,486,099,149,824
  5. Step 5: Solve for x
    x = 504,486,099,149,824/10,350,724
  6. Step 6: Final answer
    x = 48,739,208.89

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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.