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Finding the Third Proportional to 923,946,291 and 1,924,321,671

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Solution

The third proportional to 923,946,291 and 1,924,321,671 is: 4,007,823,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,946,291 : 1,924,321,671 = 1,924,321,671 : x
  2. Step 2: Convert to fraction form
    923,946,291/1,924,321,671 = 1,924,321,671/x
  3. Step 3: Cross multiply
    923,946,291x = 1,924,321,671 × 1,924,321,671
  4. Step 4: Simplify right side
    923,946,291x = 3,703,013,893,480,232,448
  5. Step 5: Solve for x
    x = 3,703,013,893,480,232,448/923,946,291
  6. Step 6: Final answer
    x = 4,007,823,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.