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Finding the Third Proportional to 315,349,648 and 674,280,319

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Solution

The third proportional to 315,349,648 and 674,280,319 is: 1,441,745,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,349,648 : 674,280,319 = 674,280,319 : x
  2. Step 2: Convert to fraction form
    315,349,648/674,280,319 = 674,280,319/x
  3. Step 3: Cross multiply
    315,349,648x = 674,280,319 × 674,280,319
  4. Step 4: Simplify right side
    315,349,648x = 454,653,948,590,741,760
  5. Step 5: Solve for x
    x = 454,653,948,590,741,760/315,349,648
  6. Step 6: Final answer
    x = 1,441,745,540.15

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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.