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Finding the Third Proportional to 919,441,317 and 1,427,608,098

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Solution

The third proportional to 919,441,317 and 1,427,608,098 is: 2,216,633,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,441,317 : 1,427,608,098 = 1,427,608,098 : x
  2. Step 2: Convert to fraction form
    919,441,317/1,427,608,098 = 1,427,608,098/x
  3. Step 3: Cross multiply
    919,441,317x = 1,427,608,098 × 1,427,608,098
  4. Step 4: Simplify right side
    919,441,317x = 2,038,064,881,475,177,728
  5. Step 5: Solve for x
    x = 2,038,064,881,475,177,728/919,441,317
  6. Step 6: Final answer
    x = 2,216,633,996.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.