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Finding the Third Proportional to 3,146,033 and 6,892,319

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Solution

The third proportional to 3,146,033 and 6,892,319 is: 15,099,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,033 : 6,892,319 = 6,892,319 : x
  2. Step 2: Convert to fraction form
    3,146,033/6,892,319 = 6,892,319/x
  3. Step 3: Cross multiply
    3,146,033x = 6,892,319 × 6,892,319
  4. Step 4: Simplify right side
    3,146,033x = 47,504,061,197,761
  5. Step 5: Solve for x
    x = 47,504,061,197,761/3,146,033
  6. Step 6: Final answer
    x = 15,099,670.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.