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Finding the Third Proportional to 315,349,644 and 674,280,312

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Solution

The third proportional to 315,349,644 and 674,280,312 is: 1,441,745,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,349,644 : 674,280,312 = 674,280,312 : x
  2. Step 2: Convert to fraction form
    315,349,644/674,280,312 = 674,280,312/x
  3. Step 3: Cross multiply
    315,349,644x = 674,280,312 × 674,280,312
  4. Step 4: Simplify right side
    315,349,644x = 454,653,939,150,817,344
  5. Step 5: Solve for x
    x = 454,653,939,150,817,344/315,349,644
  6. Step 6: Final answer
    x = 1,441,745,528.50

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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.