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Finding the Third Proportional to 31,635,966 and 49,303,558

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Solution

The third proportional to 31,635,966 and 49,303,558 is: 76,837,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635,966 : 49,303,558 = 49,303,558 : x
  2. Step 2: Convert to fraction form
    31,635,966/49,303,558 = 49,303,558/x
  3. Step 3: Cross multiply
    31,635,966x = 49,303,558 × 49,303,558
  4. Step 4: Simplify right side
    31,635,966x = 2,430,840,831,459,364
  5. Step 5: Solve for x
    x = 2,430,840,831,459,364/31,635,966
  6. Step 6: Final answer
    x = 76,837,888.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.