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Finding the Third Proportional to 451,335,660.82 and 982,796,702.63

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Solution

The third proportional to 451,335,660.82 and 982,796,702.63 is: 2,140,068,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,335,660.82 : 982,796,702.63 = 982,796,702.63 : x
  2. Step 2: Convert to fraction form
    451,335,660.82/982,796,702.63 = 982,796,702.63/x
  3. Step 3: Cross multiply
    451,335,660.82x = 982,796,702.63 × 982,796,702.63
  4. Step 4: Simplify right side
    451,335,660.82x = 965,889,358,690,572,672
  5. Step 5: Solve for x
    x = 965,889,358,690,572,672/451,335,660.82
  6. Step 6: Final answer
    x = 2,140,068,783.70

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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.