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Finding the Third Proportional to 29,818,530 and 65,035,062

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Solution

The third proportional to 29,818,530 and 65,035,062 is: 141,843,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818,530 : 65,035,062 = 65,035,062 : x
  2. Step 2: Convert to fraction form
    29,818,530/65,035,062 = 65,035,062/x
  3. Step 3: Cross multiply
    29,818,530x = 65,035,062 × 65,035,062
  4. Step 4: Simplify right side
    29,818,530x = 4,229,559,289,343,844
  5. Step 5: Solve for x
    x = 4,229,559,289,343,844/29,818,530
  6. Step 6: Final answer
    x = 141,843,319.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.