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Finding the Third Proportional to 30,101,022 and 65,952,765

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Solution

The third proportional to 30,101,022 and 65,952,765 is: 144,505,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101,022 : 65,952,765 = 65,952,765 : x
  2. Step 2: Convert to fraction form
    30,101,022/65,952,765 = 65,952,765/x
  3. Step 3: Cross multiply
    30,101,022x = 65,952,765 × 65,952,765
  4. Step 4: Simplify right side
    30,101,022x = 4,349,767,211,145,225
  5. Step 5: Solve for x
    x = 4,349,767,211,145,225/30,101,022
  6. Step 6: Final answer
    x = 144,505,632.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.