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Finding the Third Proportional to 32,607,768 and 70,322,756.25

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Solution

The third proportional to 32,607,768 and 70,322,756.25 is: 151,659,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607,768 : 70,322,756.25 = 70,322,756.25 : x
  2. Step 2: Convert to fraction form
    32,607,768/70,322,756.25 = 70,322,756.25/x
  3. Step 3: Cross multiply
    32,607,768x = 70,322,756.25 × 70,322,756.25
  4. Step 4: Simplify right side
    32,607,768x = 4,945,290,046,596,914
  5. Step 5: Solve for x
    x = 4,945,290,046,596,914/32,607,768
  6. Step 6: Final answer
    x = 151,659,875.85

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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.