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Finding the Third Proportional to 32,368,272 and 69,353,433

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Solution

The third proportional to 32,368,272 and 69,353,433 is: 148,599,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,368,272 : 69,353,433 = 69,353,433 : x
  2. Step 2: Convert to fraction form
    32,368,272/69,353,433 = 69,353,433/x
  3. Step 3: Cross multiply
    32,368,272x = 69,353,433 × 69,353,433
  4. Step 4: Simplify right side
    32,368,272x = 4,809,898,668,885,489
  5. Step 5: Solve for x
    x = 4,809,898,668,885,489/32,368,272
  6. Step 6: Final answer
    x = 148,599,179.74

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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.