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Finding the Third Proportional to 30,134,985.75 and 65,407,232.81

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Solution

The third proportional to 30,134,985.75 and 65,407,232.81 is: 141,964,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134,985.75 : 65,407,232.81 = 65,407,232.81 : x
  2. Step 2: Convert to fraction form
    30,134,985.75/65,407,232.81 = 65,407,232.81/x
  3. Step 3: Cross multiply
    30,134,985.75x = 65,407,232.81 × 65,407,232.81
  4. Step 4: Simplify right side
    30,134,985.75x = 4,278,106,104,188,576.50
  5. Step 5: Solve for x
    x = 4,278,106,104,188,576.50/30,134,985.75
  6. Step 6: Final answer
    x = 141,964,762.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.