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Finding the Third Proportional to 35,813,485.50 and 76,732,867.50

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Solution

The third proportional to 35,813,485.50 and 76,732,867.50 is: 164,405,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813,485.50 : 76,732,867.50 = 76,732,867.50 : x
  2. Step 2: Convert to fraction form
    35,813,485.50/76,732,867.50 = 76,732,867.50/x
  3. Step 3: Cross multiply
    35,813,485.50x = 76,732,867.50 × 76,732,867.50
  4. Step 4: Simplify right side
    35,813,485.50x = 5,887,932,954,772,556
  5. Step 5: Solve for x
    x = 5,887,932,954,772,556/35,813,485.50
  6. Step 6: Final answer
    x = 164,405,471.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.