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Finding the Third Proportional to 2,668,029,151.50 and 5,795,349,909.75

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Solution

The third proportional to 2,668,029,151.50 and 5,795,349,909.75 is: 12,588,348,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,029,151.50 : 5,795,349,909.75 = 5,795,349,909.75 : x
  2. Step 2: Convert to fraction form
    2,668,029,151.50/5,795,349,909.75 = 5,795,349,909.75/x
  3. Step 3: Cross multiply
    2,668,029,151.50x = 5,795,349,909.75 × 5,795,349,909.75
  4. Step 4: Simplify right side
    2,668,029,151.50x = 33,586,080,576,439,332,864
  5. Step 5: Solve for x
    x = 33,586,080,576,439,332,864/2,668,029,151.50
  6. Step 6: Final answer
    x = 12,588,348,428.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.