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Finding the Third Proportional to 2,507,149.50 and 5,413,303.50

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Solution

The third proportional to 2,507,149.50 and 5,413,303.50 is: 11,688,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,149.50 : 5,413,303.50 = 5,413,303.50 : x
  2. Step 2: Convert to fraction form
    2,507,149.50/5,413,303.50 = 5,413,303.50/x
  3. Step 3: Cross multiply
    2,507,149.50x = 5,413,303.50 × 5,413,303.50
  4. Step 4: Simplify right side
    2,507,149.50x = 29,303,854,783,112.25
  5. Step 5: Solve for x
    x = 29,303,854,783,112.25/2,507,149.50
  6. Step 6: Final answer
    x = 11,688,116.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.