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Finding the Third Proportional to 30,224,530 and 65,225,396

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Solution

The third proportional to 30,224,530 and 65,225,396 is: 140,758,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224,530 : 65,225,396 = 65,225,396 : x
  2. Step 2: Convert to fraction form
    30,224,530/65,225,396 = 65,225,396/x
  3. Step 3: Cross multiply
    30,224,530x = 65,225,396 × 65,225,396
  4. Step 4: Simplify right side
    30,224,530x = 4,254,352,283,356,816
  5. Step 5: Solve for x
    x = 4,254,352,283,356,816/30,224,530
  6. Step 6: Final answer
    x = 140,758,261.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.