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Finding the Third Proportional to 10,173,024 and 14,257,476

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Solution

The third proportional to 10,173,024 and 14,257,476 is: 19,981,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173,024 : 14,257,476 = 14,257,476 : x
  2. Step 2: Convert to fraction form
    10,173,024/14,257,476 = 14,257,476/x
  3. Step 3: Cross multiply
    10,173,024x = 14,257,476 × 14,257,476
  4. Step 4: Simplify right side
    10,173,024x = 203,275,621,890,576
  5. Step 5: Solve for x
    x = 203,275,621,890,576/10,173,024
  6. Step 6: Final answer
    x = 19,981,828.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.