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Finding the Third Proportional to 10,081,781,634,600 and 21,692,651,620,470

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Solution

The third proportional to 10,081,781,634,600 and 21,692,651,620,470 is: 46,675,394,427,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081,781,634,600 : 21,692,651,620,470 = 21,692,651,620,470 : x
  2. Step 2: Convert to fraction form
    10,081,781,634,600/21,692,651,620,470 = 21,692,651,620,470/x
  3. Step 3: Cross multiply
    10,081,781,634,600x = 21,692,651,620,470 × 21,692,651,620,470
  4. Step 4: Simplify right side
    10,081,781,634,600x = 470,571,134,327,079,735,048,273,920
  5. Step 5: Solve for x
    x = 470,571,134,327,079,735,048,273,920/10,081,781,634,600
  6. Step 6: Final answer
    x = 46,675,394,427,519.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.