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Finding the Third Proportional to 4,617,957,306 and 10,082,388,036

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Solution

The third proportional to 4,617,957,306 and 10,082,388,036 is: 22,012,881,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617,957,306 : 10,082,388,036 = 10,082,388,036 : x
  2. Step 2: Convert to fraction form
    4,617,957,306/10,082,388,036 = 10,082,388,036/x
  3. Step 3: Cross multiply
    4,617,957,306x = 10,082,388,036 × 10,082,388,036
  4. Step 4: Simplify right side
    4,617,957,306x = 101,654,548,508,475,932,672
  5. Step 5: Solve for x
    x = 101,654,548,508,475,932,672/4,617,957,306
  6. Step 6: Final answer
    x = 22,012,881,837.69

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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.