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Finding the Third Proportional to 382,807,752 and 839,727,909

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Solution

The third proportional to 382,807,752 and 839,727,909 is: 1,842,028,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,807,752 : 839,727,909 = 839,727,909 : x
  2. Step 2: Convert to fraction form
    382,807,752/839,727,909 = 839,727,909/x
  3. Step 3: Cross multiply
    382,807,752x = 839,727,909 × 839,727,909
  4. Step 4: Simplify right side
    382,807,752x = 705,142,961,153,512,320
  5. Step 5: Solve for x
    x = 705,142,961,153,512,320/382,807,752
  6. Step 6: Final answer
    x = 1,842,028,949.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.