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Finding the Third Proportional to 347,610,288 and 755,007,700

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Solution

The third proportional to 347,610,288 and 755,007,700 is: 1,639,872,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,610,288 : 755,007,700 = 755,007,700 : x
  2. Step 2: Convert to fraction form
    347,610,288/755,007,700 = 755,007,700/x
  3. Step 3: Cross multiply
    347,610,288x = 755,007,700 × 755,007,700
  4. Step 4: Simplify right side
    347,610,288x = 570,036,627,059,289,984
  5. Step 5: Solve for x
    x = 570,036,627,059,289,984/347,610,288
  6. Step 6: Final answer
    x = 1,639,872,715.91

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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.