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Finding the Third Proportional to 387,049,023,038 and 538,160,728,922

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Solution

The third proportional to 387,049,023,038 and 538,160,728,922 is: 748,269,477,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049,023,038 : 538,160,728,922 = 538,160,728,922 : x
  2. Step 2: Convert to fraction form
    387,049,023,038/538,160,728,922 = 538,160,728,922/x
  3. Step 3: Cross multiply
    387,049,023,038x = 538,160,728,922 × 538,160,728,922
  4. Step 4: Simplify right side
    387,049,023,038x = 289,616,970,153,858,355,429,376
  5. Step 5: Solve for x
    x = 289,616,970,153,858,355,429,376/387,049,023,038
  6. Step 6: Final answer
    x = 748,269,477,288.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.