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Finding the Third Proportional to 332,318,007 and 723,153,573

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Solution

The third proportional to 332,318,007 and 723,153,573 is: 1,573,646,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,318,007 : 723,153,573 = 723,153,573 : x
  2. Step 2: Convert to fraction form
    332,318,007/723,153,573 = 723,153,573/x
  3. Step 3: Cross multiply
    332,318,007x = 723,153,573 × 723,153,573
  4. Step 4: Simplify right side
    332,318,007x = 522,951,090,142,666,304
  5. Step 5: Solve for x
    x = 522,951,090,142,666,304/332,318,007
  6. Step 6: Final answer
    x = 1,573,646,564.82

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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.