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Finding the Third Proportional to 35,306,583.75 and 76,186,723.50

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Solution

The third proportional to 35,306,583.75 and 76,186,723.50 is: 164,400,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,306,583.75 : 76,186,723.50 = 76,186,723.50 : x
  2. Step 2: Convert to fraction form
    35,306,583.75/76,186,723.50 = 76,186,723.50/x
  3. Step 3: Cross multiply
    35,306,583.75x = 76,186,723.50 × 76,186,723.50
  4. Step 4: Simplify right side
    35,306,583.75x = 5,804,416,837,665,452
  5. Step 5: Solve for x
    x = 5,804,416,837,665,452/35,306,583.75
  6. Step 6: Final answer
    x = 164,400,409.81

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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.