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Finding the Third Proportional to 5,047,328.25 and 7,617,260.25

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Solution

The third proportional to 5,047,328.25 and 7,617,260.25 is: 11,495,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,328.25 : 7,617,260.25 = 7,617,260.25 : x
  2. Step 2: Convert to fraction form
    5,047,328.25/7,617,260.25 = 7,617,260.25/x
  3. Step 3: Cross multiply
    5,047,328.25x = 7,617,260.25 × 7,617,260.25
  4. Step 4: Simplify right side
    5,047,328.25x = 58,022,653,716,230.06
  5. Step 5: Solve for x
    x = 58,022,653,716,230.06/5,047,328.25
  6. Step 6: Final answer
    x = 11,495,716.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.