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Finding the Third Proportional to 237,380,877 and 506,116,530

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Solution

The third proportional to 237,380,877 and 506,116,530 is: 1,079,084,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,380,877 : 506,116,530 = 506,116,530 : x
  2. Step 2: Convert to fraction form
    237,380,877/506,116,530 = 506,116,530/x
  3. Step 3: Cross multiply
    237,380,877x = 506,116,530 × 506,116,530
  4. Step 4: Simplify right side
    237,380,877x = 256,153,941,939,240,896
  5. Step 5: Solve for x
    x = 256,153,941,939,240,896/237,380,877
  6. Step 6: Final answer
    x = 1,079,084,150.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.