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Finding the Third Proportional to 32,692,020 and 69,369,000

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Solution

The third proportional to 32,692,020 and 69,369,000 is: 147,193,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692,020 : 69,369,000 = 69,369,000 : x
  2. Step 2: Convert to fraction form
    32,692,020/69,369,000 = 69,369,000/x
  3. Step 3: Cross multiply
    32,692,020x = 69,369,000 × 69,369,000
  4. Step 4: Simplify right side
    32,692,020x = 4,812,058,161,000,000
  5. Step 5: Solve for x
    x = 4,812,058,161,000,000/32,692,020
  6. Step 6: Final answer
    x = 147,193,662.58

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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.