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Finding the Third Proportional to 272,526,234 and 597,814,133

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Solution

The third proportional to 272,526,234 and 597,814,133 is: 1,311,366,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,526,234 : 597,814,133 = 597,814,133 : x
  2. Step 2: Convert to fraction form
    272,526,234/597,814,133 = 597,814,133/x
  3. Step 3: Cross multiply
    272,526,234x = 597,814,133 × 597,814,133
  4. Step 4: Simplify right side
    272,526,234x = 357,381,737,614,541,696
  5. Step 5: Solve for x
    x = 357,381,737,614,541,696/272,526,234
  6. Step 6: Final answer
    x = 1,311,366,367.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.