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Finding the Third Proportional to 32,948,670 and 68,624,482

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Solution

The third proportional to 32,948,670 and 68,624,482 is: 142,928,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948,670 : 68,624,482 = 68,624,482 : x
  2. Step 2: Convert to fraction form
    32,948,670/68,624,482 = 68,624,482/x
  3. Step 3: Cross multiply
    32,948,670x = 68,624,482 × 68,624,482
  4. Step 4: Simplify right side
    32,948,670x = 4,709,319,529,768,324
  5. Step 5: Solve for x
    x = 4,709,319,529,768,324/32,948,670
  6. Step 6: Final answer
    x = 142,928,971.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.