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Finding the Third Proportional to 1,189,522,486 and 2,476,799,508

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Solution

The third proportional to 1,189,522,486 and 2,476,799,508 is: 5,157,141,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,522,486 : 2,476,799,508 = 2,476,799,508 : x
  2. Step 2: Convert to fraction form
    1,189,522,486/2,476,799,508 = 2,476,799,508/x
  3. Step 3: Cross multiply
    1,189,522,486x = 2,476,799,508 × 2,476,799,508
  4. Step 4: Simplify right side
    1,189,522,486x = 6,134,535,802,829,041,664
  5. Step 5: Solve for x
    x = 6,134,535,802,829,041,664/1,189,522,486
  6. Step 6: Final answer
    x = 5,157,141,521.10

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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.