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Finding the Third Proportional to 32,692,014 and 69,368,988

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Solution

The third proportional to 32,692,014 and 69,368,988 is: 147,193,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692,014 : 69,368,988 = 69,368,988 : x
  2. Step 2: Convert to fraction form
    32,692,014/69,368,988 = 69,368,988/x
  3. Step 3: Cross multiply
    32,692,014x = 69,368,988 × 69,368,988
  4. Step 4: Simplify right side
    32,692,014x = 4,812,056,496,144,144
  5. Step 5: Solve for x
    x = 4,812,056,496,144,144/32,692,014
  6. Step 6: Final answer
    x = 147,193,638.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.