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Finding the Third Proportional to 315,349,650 and 674,280,323

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Solution

The third proportional to 315,349,650 and 674,280,323 is: 1,441,745,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,349,650 : 674,280,323 = 674,280,323 : x
  2. Step 2: Convert to fraction form
    315,349,650/674,280,323 = 674,280,323/x
  3. Step 3: Cross multiply
    315,349,650x = 674,280,323 × 674,280,323
  4. Step 4: Simplify right side
    315,349,650x = 454,653,953,984,984,320
  5. Step 5: Solve for x
    x = 454,653,953,984,984,320/315,349,650
  6. Step 6: Final answer
    x = 1,441,745,548.11

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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.