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Finding the Third Proportional to 457,091,818.88 and 696,332,158.31

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Solution

The third proportional to 457,091,818.88 and 696,332,158.31 is: 1,060,790,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,091,818.88 : 696,332,158.31 = 696,332,158.31 : x
  2. Step 2: Convert to fraction form
    457,091,818.88/696,332,158.31 = 696,332,158.31/x
  3. Step 3: Cross multiply
    457,091,818.88x = 696,332,158.31 × 696,332,158.31
  4. Step 4: Simplify right side
    457,091,818.88x = 484,878,474,700,144,576
  5. Step 5: Solve for x
    x = 484,878,474,700,144,576/457,091,818.88
  6. Step 6: Final answer
    x = 1,060,790,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.