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Finding the Third Proportional to 30,268,576 and 65,575,996

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Solution

The third proportional to 30,268,576 and 65,575,996 is: 142,068,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268,576 : 65,575,996 = 65,575,996 : x
  2. Step 2: Convert to fraction form
    30,268,576/65,575,996 = 65,575,996/x
  3. Step 3: Cross multiply
    30,268,576x = 65,575,996 × 65,575,996
  4. Step 4: Simplify right side
    30,268,576x = 4,300,211,251,392,016
  5. Step 5: Solve for x
    x = 4,300,211,251,392,016/30,268,576
  6. Step 6: Final answer
    x = 142,068,502.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.