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Finding the Third Proportional to 266,683,647 and 400,735,476

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Solution

The third proportional to 266,683,647 and 400,735,476 is: 602,170,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,683,647 : 400,735,476 = 400,735,476 : x
  2. Step 2: Convert to fraction form
    266,683,647/400,735,476 = 400,735,476/x
  3. Step 3: Cross multiply
    266,683,647x = 400,735,476 × 400,735,476
  4. Step 4: Simplify right side
    266,683,647x = 160,588,921,724,946,560
  5. Step 5: Solve for x
    x = 160,588,921,724,946,560/266,683,647
  6. Step 6: Final answer
    x = 602,170,112.53

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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.