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Finding the Third Proportional to 35,207,786 and 53,857,794

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Solution

The third proportional to 35,207,786 and 53,857,794 is: 82,386,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207,786 : 53,857,794 = 53,857,794 : x
  2. Step 2: Convert to fraction form
    35,207,786/53,857,794 = 53,857,794/x
  3. Step 3: Cross multiply
    35,207,786x = 53,857,794 × 53,857,794
  4. Step 4: Simplify right side
    35,207,786x = 2,900,661,974,546,436
  5. Step 5: Solve for x
    x = 2,900,661,974,546,436/35,207,786
  6. Step 6: Final answer
    x = 82,386,946.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.