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Finding the Third Proportional to 29,727,022 and 65,299,896

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Solution

The third proportional to 29,727,022 and 65,299,896 is: 143,441,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727,022 : 65,299,896 = 65,299,896 : x
  2. Step 2: Convert to fraction form
    29,727,022/65,299,896 = 65,299,896/x
  3. Step 3: Cross multiply
    29,727,022x = 65,299,896 × 65,299,896
  4. Step 4: Simplify right side
    29,727,022x = 4,264,076,417,610,816
  5. Step 5: Solve for x
    x = 4,264,076,417,610,816/29,727,022
  6. Step 6: Final answer
    x = 143,441,089.31

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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.