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Finding the Third Proportional to 893,884,838 and 1,924,383,142

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Solution

The third proportional to 893,884,838 and 1,924,383,142 is: 4,142,872,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,884,838 : 1,924,383,142 = 1,924,383,142 : x
  2. Step 2: Convert to fraction form
    893,884,838/1,924,383,142 = 1,924,383,142/x
  3. Step 3: Cross multiply
    893,884,838x = 1,924,383,142 × 1,924,383,142
  4. Step 4: Simplify right side
    893,884,838x = 3,703,250,477,213,792,256
  5. Step 5: Solve for x
    x = 3,703,250,477,213,792,256/893,884,838
  6. Step 6: Final answer
    x = 4,142,872,011.90

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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.