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Finding the Third Proportional to 893,884,836.75 and 1,924,383,139.13

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Solution

The third proportional to 893,884,836.75 and 1,924,383,139.13 is: 4,142,872,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,884,836.75 : 1,924,383,139.13 = 1,924,383,139.13 : x
  2. Step 2: Convert to fraction form
    893,884,836.75/1,924,383,139.13 = 1,924,383,139.13/x
  3. Step 3: Cross multiply
    893,884,836.75x = 1,924,383,139.13 × 1,924,383,139.13
  4. Step 4: Simplify right side
    893,884,836.75x = 3,703,250,466,148,589,056
  5. Step 5: Solve for x
    x = 3,703,250,466,148,589,056/893,884,836.75
  6. Step 6: Final answer
    x = 4,142,872,005.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.