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Finding the Third Proportional to 32,821,525 and 71,422,562

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Solution

The third proportional to 32,821,525 and 71,422,562 is: 155,421,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821,525 : 71,422,562 = 71,422,562 : x
  2. Step 2: Convert to fraction form
    32,821,525/71,422,562 = 71,422,562/x
  3. Step 3: Cross multiply
    32,821,525x = 71,422,562 × 71,422,562
  4. Step 4: Simplify right side
    32,821,525x = 5,101,182,362,643,844
  5. Step 5: Solve for x
    x = 5,101,182,362,643,844/32,821,525
  6. Step 6: Final answer
    x = 155,421,856.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.