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Finding the Third Proportional to 13,262,949 and 19,943,617.50

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Solution

The third proportional to 13,262,949 and 19,943,617.50 is: 29,989,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262,949 : 19,943,617.50 = 19,943,617.50 : x
  2. Step 2: Convert to fraction form
    13,262,949/19,943,617.50 = 19,943,617.50/x
  3. Step 3: Cross multiply
    13,262,949x = 19,943,617.50 × 19,943,617.50
  4. Step 4: Simplify right side
    13,262,949x = 397,747,878,986,306.25
  5. Step 5: Solve for x
    x = 397,747,878,986,306.25/13,262,949
  6. Step 6: Final answer
    x = 29,989,399.72

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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.