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Finding the Third Proportional to 567,242,108 and 1,233,870,208

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Solution

The third proportional to 567,242,108 and 1,233,870,208 is: 2,683,925,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,242,108 : 1,233,870,208 = 1,233,870,208 : x
  2. Step 2: Convert to fraction form
    567,242,108/1,233,870,208 = 1,233,870,208/x
  3. Step 3: Cross multiply
    567,242,108x = 1,233,870,208 × 1,233,870,208
  4. Step 4: Simplify right side
    567,242,108x = 1,522,435,690,189,963,264
  5. Step 5: Solve for x
    x = 1,522,435,690,189,963,264/567,242,108
  6. Step 6: Final answer
    x = 2,683,925,732.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.