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Finding the Third Proportional to 62,944,264,735 and 128,416,995,013

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Solution

The third proportional to 62,944,264,735 and 128,416,995,013 is: 261,992,489,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,944,264,735 : 128,416,995,013 = 128,416,995,013 : x
  2. Step 2: Convert to fraction form
    62,944,264,735/128,416,995,013 = 128,416,995,013/x
  3. Step 3: Cross multiply
    62,944,264,735x = 128,416,995,013 × 128,416,995,013
  4. Step 4: Simplify right side
    62,944,264,735x = 16,490,924,608,168,866,611,200
  5. Step 5: Solve for x
    x = 16,490,924,608,168,866,611,200/62,944,264,735
  6. Step 6: Final answer
    x = 261,992,489,349.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.