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Finding the Third Proportional to 58,479,902,946 and 128,170,786,455

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Solution

The third proportional to 58,479,902,946 and 128,170,786,455 is: 280,912,752,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,479,902,946 : 128,170,786,455 = 128,170,786,455 : x
  2. Step 2: Convert to fraction form
    58,479,902,946/128,170,786,455 = 128,170,786,455/x
  3. Step 3: Cross multiply
    58,479,902,946x = 128,170,786,455 × 128,170,786,455
  4. Step 4: Simplify right side
    58,479,902,946x = 16,427,750,500,493,210,681,344
  5. Step 5: Solve for x
    x = 16,427,750,500,493,210,681,344/58,479,902,946
  6. Step 6: Final answer
    x = 280,912,752,465.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.