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Finding the Third Proportional to 266,683,146 and 400,734,711

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Solution

The third proportional to 266,683,146 and 400,734,711 is: 602,168,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,683,146 : 400,734,711 = 400,734,711 : x
  2. Step 2: Convert to fraction form
    266,683,146/400,734,711 = 400,734,711/x
  3. Step 3: Cross multiply
    266,683,146x = 400,734,711 × 400,734,711
  4. Step 4: Simplify right side
    266,683,146x = 160,588,308,600,253,536
  5. Step 5: Solve for x
    x = 160,588,308,600,253,536/266,683,146
  6. Step 6: Final answer
    x = 602,168,944.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.