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Finding the Third Proportional to 4,617,957,298 and 10,082,388,014

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Solution

The third proportional to 4,617,957,298 and 10,082,388,014 is: 22,012,881,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617,957,298 : 10,082,388,014 = 10,082,388,014 : x
  2. Step 2: Convert to fraction form
    4,617,957,298/10,082,388,014 = 10,082,388,014/x
  3. Step 3: Cross multiply
    4,617,957,298x = 10,082,388,014 × 10,082,388,014
  4. Step 4: Simplify right side
    4,617,957,298x = 101,654,548,064,850,870,272
  5. Step 5: Solve for x
    x = 101,654,548,064,850,870,272/4,617,957,298
  6. Step 6: Final answer
    x = 22,012,881,779.76

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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.