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Finding the Third Proportional to 2,929,024 and 6,307,472

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Solution

The third proportional to 2,929,024 and 6,307,472 is: 13,582,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,024 : 6,307,472 = 6,307,472 : x
  2. Step 2: Convert to fraction form
    2,929,024/6,307,472 = 6,307,472/x
  3. Step 3: Cross multiply
    2,929,024x = 6,307,472 × 6,307,472
  4. Step 4: Simplify right side
    2,929,024x = 39,784,203,030,784
  5. Step 5: Solve for x
    x = 39,784,203,030,784/2,929,024
  6. Step 6: Final answer
    x = 13,582,750.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.