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Finding the Third Proportional to 419,771,292 and 922,185,912

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Solution

The third proportional to 419,771,292 and 922,185,912 is: 2,025,929,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,771,292 : 922,185,912 = 922,185,912 : x
  2. Step 2: Convert to fraction form
    419,771,292/922,185,912 = 922,185,912/x
  3. Step 3: Cross multiply
    419,771,292x = 922,185,912 × 922,185,912
  4. Step 4: Simplify right side
    419,771,292x = 850,426,856,291,271,680
  5. Step 5: Solve for x
    x = 850,426,856,291,271,680/419,771,292
  6. Step 6: Final answer
    x = 2,025,929,053.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.