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Finding the Third Proportional to 8,054,114,510 and 16,337,882,112

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Solution

The third proportional to 8,054,114,510 and 16,337,882,112 is: 33,141,618,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054,114,510 : 16,337,882,112 = 16,337,882,112 : x
  2. Step 2: Convert to fraction form
    8,054,114,510/16,337,882,112 = 16,337,882,112/x
  3. Step 3: Cross multiply
    8,054,114,510x = 16,337,882,112 × 16,337,882,112
  4. Step 4: Simplify right side
    8,054,114,510x = 266,926,391,905,609,580,544
  5. Step 5: Solve for x
    x = 266,926,391,905,609,580,544/8,054,114,510
  6. Step 6: Final answer
    x = 33,141,618,681.26

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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.