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Finding the Third Proportional to 1,385,640,173 and 2,869,499,369

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Solution

The third proportional to 1,385,640,173 and 2,869,499,369 is: 5,942,398,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,640,173 : 2,869,499,369 = 2,869,499,369 : x
  2. Step 2: Convert to fraction form
    1,385,640,173/2,869,499,369 = 2,869,499,369/x
  3. Step 3: Cross multiply
    1,385,640,173x = 2,869,499,369 × 2,869,499,369
  4. Step 4: Simplify right side
    1,385,640,173x = 8,234,026,628,691,398,656
  5. Step 5: Solve for x
    x = 8,234,026,628,691,398,656/1,385,640,173
  6. Step 6: Final answer
    x = 5,942,398,891.96

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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.