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Finding the Third Proportional to 235,667,030 and 512,127,076

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Solution

The third proportional to 235,667,030 and 512,127,076 is: 1,112,901,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,667,030 : 512,127,076 = 512,127,076 : x
  2. Step 2: Convert to fraction form
    235,667,030/512,127,076 = 512,127,076/x
  3. Step 3: Cross multiply
    235,667,030x = 512,127,076 × 512,127,076
  4. Step 4: Simplify right side
    235,667,030x = 262,274,141,972,309,760
  5. Step 5: Solve for x
    x = 262,274,141,972,309,760/235,667,030
  6. Step 6: Final answer
    x = 1,112,901,291.17

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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.