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Finding the Third Proportional to 463,795,910 and 959,875,128

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Solution

The third proportional to 463,795,910 and 959,875,128 is: 1,986,564,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,795,910 : 959,875,128 = 959,875,128 : x
  2. Step 2: Convert to fraction form
    463,795,910/959,875,128 = 959,875,128/x
  3. Step 3: Cross multiply
    463,795,910x = 959,875,128 × 959,875,128
  4. Step 4: Simplify right side
    463,795,910x = 921,360,261,353,016,320
  5. Step 5: Solve for x
    x = 921,360,261,353,016,320/463,795,910
  6. Step 6: Final answer
    x = 1,986,564,006.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.