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Finding the Third Proportional to 21,047,949 and 31,486,099.50

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Solution

The third proportional to 21,047,949 and 31,486,099.50 is: 47,100,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047,949 : 31,486,099.50 = 31,486,099.50 : x
  2. Step 2: Convert to fraction form
    21,047,949/31,486,099.50 = 31,486,099.50/x
  3. Step 3: Cross multiply
    21,047,949x = 31,486,099.50 × 31,486,099.50
  4. Step 4: Simplify right side
    21,047,949x = 991,374,461,723,900.25
  5. Step 5: Solve for x
    x = 991,374,461,723,900.25/21,047,949
  6. Step 6: Final answer
    x = 47,100,763.20

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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.