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Finding the Third Proportional to 635,124,852 and 1,375,787,798

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Solution

The third proportional to 635,124,852 and 1,375,787,798 is: 2,980,188,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,124,852 : 1,375,787,798 = 1,375,787,798 : x
  2. Step 2: Convert to fraction form
    635,124,852/1,375,787,798 = 1,375,787,798/x
  3. Step 3: Cross multiply
    635,124,852x = 1,375,787,798 × 1,375,787,798
  4. Step 4: Simplify right side
    635,124,852x = 1,892,792,065,125,688,832
  5. Step 5: Solve for x
    x = 1,892,792,065,125,688,832/635,124,852
  6. Step 6: Final answer
    x = 2,980,188,948.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.