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Finding the Third Proportional to 5,672,330 and 12,142,024

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Solution

The third proportional to 5,672,330 and 12,142,024 is: 25,990,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,330 : 12,142,024 = 12,142,024 : x
  2. Step 2: Convert to fraction form
    5,672,330/12,142,024 = 12,142,024/x
  3. Step 3: Cross multiply
    5,672,330x = 12,142,024 × 12,142,024
  4. Step 4: Simplify right side
    5,672,330x = 147,428,746,816,576
  5. Step 5: Solve for x
    x = 147,428,746,816,576/5,672,330
  6. Step 6: Final answer
    x = 25,990,862.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.