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Finding the Third Proportional to 1,189,522,484 and 2,476,799,504

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Solution

The third proportional to 1,189,522,484 and 2,476,799,504 is: 5,157,141,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,522,484 : 2,476,799,504 = 2,476,799,504 : x
  2. Step 2: Convert to fraction form
    1,189,522,484/2,476,799,504 = 2,476,799,504/x
  3. Step 3: Cross multiply
    1,189,522,484x = 2,476,799,504 × 2,476,799,504
  4. Step 4: Simplify right side
    1,189,522,484x = 6,134,535,783,014,645,760
  5. Step 5: Solve for x
    x = 6,134,535,783,014,645,760/1,189,522,484
  6. Step 6: Final answer
    x = 5,157,141,513.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.