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Finding the Third Proportional to 457,091,824 and 696,332,166

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Solution

The third proportional to 457,091,824 and 696,332,166 is: 1,060,790,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,091,824 : 696,332,166 = 696,332,166 : x
  2. Step 2: Convert to fraction form
    457,091,824/696,332,166 = 696,332,166/x
  3. Step 3: Cross multiply
    457,091,824x = 696,332,166 × 696,332,166
  4. Step 4: Simplify right side
    457,091,824x = 484,878,485,406,251,584
  5. Step 5: Solve for x
    x = 484,878,485,406,251,584/457,091,824
  6. Step 6: Final answer
    x = 1,060,790,108.13

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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.