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Finding the Third Proportional to 923,693,799 and 1,912,869,716

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Solution

The third proportional to 923,693,799 and 1,912,869,716 is: 3,961,345,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,693,799 : 1,912,869,716 = 1,912,869,716 : x
  2. Step 2: Convert to fraction form
    923,693,799/1,912,869,716 = 1,912,869,716/x
  3. Step 3: Cross multiply
    923,693,799x = 1,912,869,716 × 1,912,869,716
  4. Step 4: Simplify right side
    923,693,799x = 3,659,070,550,389,920,768
  5. Step 5: Solve for x
    x = 3,659,070,550,389,920,768/923,693,799
  6. Step 6: Final answer
    x = 3,961,345,799.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.