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Finding the Third Proportional to 266,683,338 and 400,735,006.50

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Solution

The third proportional to 266,683,338 and 400,735,006.50 is: 602,169,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,683,338 : 400,735,006.50 = 400,735,006.50 : x
  2. Step 2: Convert to fraction form
    266,683,338/400,735,006.50 = 400,735,006.50/x
  3. Step 3: Cross multiply
    266,683,338x = 400,735,006.50 × 400,735,006.50
  4. Step 4: Simplify right side
    266,683,338x = 160,588,545,434,555,040
  5. Step 5: Solve for x
    x = 160,588,545,434,555,040/266,683,338
  6. Step 6: Final answer
    x = 602,169,399.25

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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.