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Finding the Third Proportional to 69,961,872 and 153,697,632

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Solution

The third proportional to 69,961,872 and 153,697,632 is: 337,654,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,961,872 : 153,697,632 = 153,697,632 : x
  2. Step 2: Convert to fraction form
    69,961,872/153,697,632 = 153,697,632/x
  3. Step 3: Cross multiply
    69,961,872x = 153,697,632 × 153,697,632
  4. Step 4: Simplify right side
    69,961,872x = 23,622,962,082,407,424
  5. Step 5: Solve for x
    x = 23,622,962,082,407,424/69,961,872
  6. Step 6: Final answer
    x = 337,654,802.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.