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Finding the Third Proportional to 30,903,314.06 and 47,829,168.56

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Solution

The third proportional to 30,903,314.06 and 47,829,168.56 is: 74,025,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903,314.06 : 47,829,168.56 = 47,829,168.56 : x
  2. Step 2: Convert to fraction form
    30,903,314.06/47,829,168.56 = 47,829,168.56/x
  3. Step 3: Cross multiply
    30,903,314.06x = 47,829,168.56 × 47,829,168.56
  4. Step 4: Simplify right side
    30,903,314.06x = 2,287,629,365,380,038.50
  5. Step 5: Solve for x
    x = 2,287,629,365,380,038.50/30,903,314.06
  6. Step 6: Final answer
    x = 74,025,373.48

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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.