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Finding the Third Proportional to 10,455,897,687,696 and 22,380,600,476,862

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Solution

The third proportional to 10,455,897,687,696 and 22,380,600,476,862 is: 47,905,143,361,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,897,687,696 : 22,380,600,476,862 = 22,380,600,476,862 : x
  2. Step 2: Convert to fraction form
    10,455,897,687,696/22,380,600,476,862 = 22,380,600,476,862/x
  3. Step 3: Cross multiply
    10,455,897,687,696x = 22,380,600,476,862 × 22,380,600,476,862
  4. Step 4: Simplify right side
    10,455,897,687,696x = 500,891,277,704,915,594,485,170,176
  5. Step 5: Solve for x
    x = 500,891,277,704,915,594,485,170,176/10,455,897,687,696
  6. Step 6: Final answer
    x = 47,905,143,361,754.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.