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Finding the Third Proportional to 2,929,224 and 6,173,376

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Solution

The third proportional to 2,929,224 and 6,173,376 is: 13,010,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,224 : 6,173,376 = 6,173,376 : x
  2. Step 2: Convert to fraction form
    2,929,224/6,173,376 = 6,173,376/x
  3. Step 3: Cross multiply
    2,929,224x = 6,173,376 × 6,173,376
  4. Step 4: Simplify right side
    2,929,224x = 38,110,571,237,376
  5. Step 5: Solve for x
    x = 38,110,571,237,376/2,929,224
  6. Step 6: Final answer
    x = 13,010,466.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.