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Finding the Third Proportional to 250,055,995,414 and 536,411,704,365

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Solution

The third proportional to 250,055,995,414 and 536,411,704,365 is: 1,150,692,332,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,055,995,414 : 536,411,704,365 = 536,411,704,365 : x
  2. Step 2: Convert to fraction form
    250,055,995,414/536,411,704,365 = 536,411,704,365/x
  3. Step 3: Cross multiply
    250,055,995,414x = 536,411,704,365 × 536,411,704,365
  4. Step 4: Simplify right side
    250,055,995,414x = 287,737,516,579,764,173,799,424
  5. Step 5: Solve for x
    x = 287,737,516,579,764,173,799,424/250,055,995,414
  6. Step 6: Final answer
    x = 1,150,692,332,344.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.