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Finding the Third Proportional to 893,883,942 and 1,924,380,516

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Solution

The third proportional to 893,883,942 and 1,924,380,516 is: 4,142,864,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,883,942 : 1,924,380,516 = 1,924,380,516 : x
  2. Step 2: Convert to fraction form
    893,883,942/1,924,380,516 = 1,924,380,516/x
  3. Step 3: Cross multiply
    893,883,942x = 1,924,380,516 × 1,924,380,516
  4. Step 4: Simplify right side
    893,883,942x = 3,703,240,370,360,426,496
  5. Step 5: Solve for x
    x = 3,703,240,370,360,426,496/893,883,942
  6. Step 6: Final answer
    x = 4,142,864,857.91

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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.