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Finding the Third Proportional to 810,639,497 and 1,643,835,991

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Solution

The third proportional to 810,639,497 and 1,643,835,991 is: 3,333,413,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,639,497 : 1,643,835,991 = 1,643,835,991 : x
  2. Step 2: Convert to fraction form
    810,639,497/1,643,835,991 = 1,643,835,991/x
  3. Step 3: Cross multiply
    810,639,497x = 1,643,835,991 × 1,643,835,991
  4. Step 4: Simplify right side
    810,639,497x = 2,702,196,765,306,952,192
  5. Step 5: Solve for x
    x = 2,702,196,765,306,952,192/810,639,497
  6. Step 6: Final answer
    x = 3,333,413,650.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.