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Finding the Third Proportional to 294,741,307,915 and 452,758,707,293

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Solution

The third proportional to 294,741,307,915 and 452,758,707,293 is: 695,492,764,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,741,307,915 : 452,758,707,293 = 452,758,707,293 : x
  2. Step 2: Convert to fraction form
    294,741,307,915/452,758,707,293 = 452,758,707,293/x
  3. Step 3: Cross multiply
    294,741,307,915x = 452,758,707,293 × 452,758,707,293
  4. Step 4: Simplify right side
    294,741,307,915x = 204,990,447,029,628,449,062,912
  5. Step 5: Solve for x
    x = 204,990,447,029,628,449,062,912/294,741,307,915
  6. Step 6: Final answer
    x = 695,492,764,416.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.