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Finding the Third Proportional to 300,401,503,260 and 636,617,878,392

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Solution

The third proportional to 300,401,503,260 and 636,617,878,392 is: 1,349,135,469,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,401,503,260 : 636,617,878,392 = 636,617,878,392 : x
  2. Step 2: Convert to fraction form
    300,401,503,260/636,617,878,392 = 636,617,878,392/x
  3. Step 3: Cross multiply
    300,401,503,260x = 636,617,878,392 × 636,617,878,392
  4. Step 4: Simplify right side
    300,401,503,260x = 405,282,323,088,331,274,977,280
  5. Step 5: Solve for x
    x = 405,282,323,088,331,274,977,280/300,401,503,260
  6. Step 6: Final answer
    x = 1,349,135,469,330.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.