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Finding the Third Proportional to 1,836,956,128 and 2,836,656,088

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Solution

The third proportional to 1,836,956,128 and 2,836,656,088 is: 4,380,408,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,956,128 : 2,836,656,088 = 2,836,656,088 : x
  2. Step 2: Convert to fraction form
    1,836,956,128/2,836,656,088 = 2,836,656,088/x
  3. Step 3: Cross multiply
    1,836,956,128x = 2,836,656,088 × 2,836,656,088
  4. Step 4: Simplify right side
    1,836,956,128x = 8,046,617,761,587,464,192
  5. Step 5: Solve for x
    x = 8,046,617,761,587,464,192/1,836,956,128
  6. Step 6: Final answer
    x = 4,380,408,241.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.