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Finding the Third Proportional to 124,903,945 and 270,658,635

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Solution

The third proportional to 124,903,945 and 270,658,635 is: 586,499,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,903,945 : 270,658,635 = 270,658,635 : x
  2. Step 2: Convert to fraction form
    124,903,945/270,658,635 = 270,658,635/x
  3. Step 3: Cross multiply
    124,903,945x = 270,658,635 × 270,658,635
  4. Step 4: Simplify right side
    124,903,945x = 73,256,096,700,063,232
  5. Step 5: Solve for x
    x = 73,256,096,700,063,232/124,903,945
  6. Step 6: Final answer
    x = 586,499,463.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.