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Finding the Third Proportional to 49,094,720 and 73,642,080

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Solution

The third proportional to 49,094,720 and 73,642,080 is: 110,463,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,094,720 : 73,642,080 = 73,642,080 : x
  2. Step 2: Convert to fraction form
    49,094,720/73,642,080 = 73,642,080/x
  3. Step 3: Cross multiply
    49,094,720x = 73,642,080 × 73,642,080
  4. Step 4: Simplify right side
    49,094,720x = 5,423,155,946,726,400
  5. Step 5: Solve for x
    x = 5,423,155,946,726,400/49,094,720
  6. Step 6: Final answer
    x = 110,463,120

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.