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Finding the Third Proportional to 49,764,642 and 74,646,967.50

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Solution

The third proportional to 49,764,642 and 74,646,967.50 is: 111,970,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764,642 : 74,646,967.50 = 74,646,967.50 : x
  2. Step 2: Convert to fraction form
    49,764,642/74,646,967.50 = 74,646,967.50/x
  3. Step 3: Cross multiply
    49,764,642x = 74,646,967.50 × 74,646,967.50
  4. Step 4: Simplify right side
    49,764,642x = 5,572,169,756,946,056
  5. Step 5: Solve for x
    x = 5,572,169,756,946,056/49,764,642
  6. Step 6: Final answer
    x = 111,970,458.00

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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.