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Finding the Third Proportional to 30,082,338 and 65,931,642

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Solution

The third proportional to 30,082,338 and 65,931,642 is: 144,502,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082,338 : 65,931,642 = 65,931,642 : x
  2. Step 2: Convert to fraction form
    30,082,338/65,931,642 = 65,931,642/x
  3. Step 3: Cross multiply
    30,082,338x = 65,931,642 × 65,931,642
  4. Step 4: Simplify right side
    30,082,338x = 4,346,981,416,816,164
  5. Step 5: Solve for x
    x = 4,346,981,416,816,164/30,082,338
  6. Step 6: Final answer
    x = 144,502,778.24

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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.