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Finding the Third Proportional to 30,268,146 and 66,422,724

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Solution

The third proportional to 30,268,146 and 66,422,724 is: 145,763,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268,146 : 66,422,724 = 66,422,724 : x
  2. Step 2: Convert to fraction form
    30,268,146/66,422,724 = 66,422,724/x
  3. Step 3: Cross multiply
    30,268,146x = 66,422,724 × 66,422,724
  4. Step 4: Simplify right side
    30,268,146x = 4,411,978,263,580,176
  5. Step 5: Solve for x
    x = 4,411,978,263,580,176/30,268,146
  6. Step 6: Final answer
    x = 145,763,082.54

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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.