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Finding the Third Proportional to 235,667,028 and 512,127,072

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Solution

The third proportional to 235,667,028 and 512,127,072 is: 1,112,901,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,667,028 : 512,127,072 = 512,127,072 : x
  2. Step 2: Convert to fraction form
    235,667,028/512,127,072 = 512,127,072/x
  3. Step 3: Cross multiply
    235,667,028x = 512,127,072 × 512,127,072
  4. Step 4: Simplify right side
    235,667,028x = 262,274,137,875,293,184
  5. Step 5: Solve for x
    x = 262,274,137,875,293,184/235,667,028
  6. Step 6: Final answer
    x = 1,112,901,283.23

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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.