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Finding the Third Proportional to 303,079,613 and 654,658,123

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Solution

The third proportional to 303,079,613 and 654,658,123 is: 1,414,074,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,079,613 : 654,658,123 = 654,658,123 : x
  2. Step 2: Convert to fraction form
    303,079,613/654,658,123 = 654,658,123/x
  3. Step 3: Cross multiply
    303,079,613x = 654,658,123 × 654,658,123
  4. Step 4: Simplify right side
    303,079,613x = 428,577,258,009,883,136
  5. Step 5: Solve for x
    x = 428,577,258,009,883,136/303,079,613
  6. Step 6: Final answer
    x = 1,414,074,849.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.