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Finding the Third Proportional to 1,417,186,422 and 3,092,252,220

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Solution

The third proportional to 1,417,186,422 and 3,092,252,220 is: 6,747,188,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,186,422 : 3,092,252,220 = 3,092,252,220 : x
  2. Step 2: Convert to fraction form
    1,417,186,422/3,092,252,220 = 3,092,252,220/x
  3. Step 3: Cross multiply
    1,417,186,422x = 3,092,252,220 × 3,092,252,220
  4. Step 4: Simplify right side
    1,417,186,422x = 9,562,023,792,094,928,896
  5. Step 5: Solve for x
    x = 9,562,023,792,094,928,896/1,417,186,422
  6. Step 6: Final answer
    x = 6,747,188,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.