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Finding the Third Proportional to 272,234,817 and 418,444,555.50

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Solution

The third proportional to 272,234,817 and 418,444,555.50 is: 643,179,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,817 : 418,444,555.50 = 418,444,555.50 : x
  2. Step 2: Convert to fraction form
    272,234,817/418,444,555.50 = 418,444,555.50/x
  3. Step 3: Cross multiply
    272,234,817x = 418,444,555.50 × 418,444,555.50
  4. Step 4: Simplify right side
    272,234,817x = 175,095,846,027,592,576
  5. Step 5: Solve for x
    x = 175,095,846,027,592,576/272,234,817
  6. Step 6: Final answer
    x = 643,179,472.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.