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Finding the Third Proportional to 2,857,974,459 and 6,129,469,308

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Solution

The third proportional to 2,857,974,459 and 6,129,469,308 is: 13,145,811,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,974,459 : 6,129,469,308 = 6,129,469,308 : x
  2. Step 2: Convert to fraction form
    2,857,974,459/6,129,469,308 = 6,129,469,308/x
  3. Step 3: Cross multiply
    2,857,974,459x = 6,129,469,308 × 6,129,469,308
  4. Step 4: Simplify right side
    2,857,974,459x = 37,570,393,997,713,997,824
  5. Step 5: Solve for x
    x = 37,570,393,997,713,997,824/2,857,974,459
  6. Step 6: Final answer
    x = 13,145,811,670.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.