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Finding the Third Proportional to 4,200,376 and 9,160,968

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Solution

The third proportional to 4,200,376 and 9,160,968 is: 19,979,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,376 : 9,160,968 = 9,160,968 : x
  2. Step 2: Convert to fraction form
    4,200,376/9,160,968 = 9,160,968/x
  3. Step 3: Cross multiply
    4,200,376x = 9,160,968 × 9,160,968
  4. Step 4: Simplify right side
    4,200,376x = 83,923,334,697,024
  5. Step 5: Solve for x
    x = 83,923,334,697,024/4,200,376
  6. Step 6: Final answer
    x = 19,979,957.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.