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Finding the Third Proportional to 8,054,114,451 and 16,337,881,996

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Solution

The third proportional to 8,054,114,451 and 16,337,881,996 is: 33,141,618,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054,114,451 : 16,337,881,996 = 16,337,881,996 : x
  2. Step 2: Convert to fraction form
    8,054,114,451/16,337,881,996 = 16,337,881,996/x
  3. Step 3: Cross multiply
    8,054,114,451x = 16,337,881,996 × 16,337,881,996
  4. Step 4: Simplify right side
    8,054,114,451x = 266,926,388,115,220,955,136
  5. Step 5: Solve for x
    x = 266,926,388,115,220,955,136/8,054,114,451
  6. Step 6: Final answer
    x = 33,141,618,453.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.