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Finding the Third Proportional to 11,337,082,884 and 15,958,154,028

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Solution

The third proportional to 11,337,082,884 and 15,958,154,028 is: 22,462,804,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337,082,884 : 15,958,154,028 = 15,958,154,028 : x
  2. Step 2: Convert to fraction form
    11,337,082,884/15,958,154,028 = 15,958,154,028/x
  3. Step 3: Cross multiply
    11,337,082,884x = 15,958,154,028 × 15,958,154,028
  4. Step 4: Simplify right side
    11,337,082,884x = 254,662,679,981,372,637,184
  5. Step 5: Solve for x
    x = 254,662,679,981,372,637,184/11,337,082,884
  6. Step 6: Final answer
    x = 22,462,804,813.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.