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Finding the Third Proportional to 32,301,509 and 49,649,647.50

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Solution

The third proportional to 32,301,509 and 49,649,647.50 is: 76,314,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301,509 : 49,649,647.50 = 49,649,647.50 : x
  2. Step 2: Convert to fraction form
    32,301,509/49,649,647.50 = 49,649,647.50/x
  3. Step 3: Cross multiply
    32,301,509x = 49,649,647.50 × 49,649,647.50
  4. Step 4: Simplify right side
    32,301,509x = 2,465,087,496,874,256
  5. Step 5: Solve for x
    x = 2,465,087,496,874,256/32,301,509
  6. Step 6: Final answer
    x = 76,314,933.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.