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Finding the Third Proportional to 266,683,410 and 400,735,117.50

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Solution

The third proportional to 266,683,410 and 400,735,117.50 is: 602,169,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,683,410 : 400,735,117.50 = 400,735,117.50 : x
  2. Step 2: Convert to fraction form
    266,683,410/400,735,117.50 = 400,735,117.50/x
  3. Step 3: Cross multiply
    266,683,410x = 400,735,117.50 × 400,735,117.50
  4. Step 4: Simplify right side
    266,683,410x = 160,588,634,397,738,816
  5. Step 5: Solve for x
    x = 160,588,634,397,738,816/266,683,410
  6. Step 6: Final answer
    x = 602,169,570.27

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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.