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Finding the Third Proportional to 25,581,236,826 and 57,044,429,016

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Solution

The third proportional to 25,581,236,826 and 57,044,429,016 is: 127,205,220,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,581,236,826 : 57,044,429,016 = 57,044,429,016 : x
  2. Step 2: Convert to fraction form
    25,581,236,826/57,044,429,016 = 57,044,429,016/x
  3. Step 3: Cross multiply
    25,581,236,826x = 57,044,429,016 × 57,044,429,016
  4. Step 4: Simplify right side
    25,581,236,826x = 3,254,066,881,761,462,714,368
  5. Step 5: Solve for x
    x = 3,254,066,881,761,462,714,368/25,581,236,826
  6. Step 6: Final answer
    x = 127,205,220,916.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.