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Finding the Third Proportional to 1,604,747,224.13 and 3,494,384,644.50

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Solution

The third proportional to 1,604,747,224.13 and 3,494,384,644.50 is: 7,609,126,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,747,224.13 : 3,494,384,644.50 = 3,494,384,644.50 : x
  2. Step 2: Convert to fraction form
    1,604,747,224.13/3,494,384,644.50 = 3,494,384,644.50/x
  3. Step 3: Cross multiply
    1,604,747,224.13x = 3,494,384,644.50 × 3,494,384,644.50
  4. Step 4: Simplify right side
    1,604,747,224.13x = 12,210,724,043,717,392,384
  5. Step 5: Solve for x
    x = 12,210,724,043,717,392,384/1,604,747,224.13
  6. Step 6: Final answer
    x = 7,609,126,135.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.