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Finding the Third Proportional to 57,695,503,806 and 125,322,963,796

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Solution

The third proportional to 57,695,503,806 and 125,322,963,796 is: 272,219,570,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695,503,806 : 125,322,963,796 = 125,322,963,796 : x
  2. Step 2: Convert to fraction form
    57,695,503,806/125,322,963,796 = 125,322,963,796/x
  3. Step 3: Cross multiply
    57,695,503,806x = 125,322,963,796 × 125,322,963,796
  4. Step 4: Simplify right side
    57,695,503,806x = 15,705,845,254,613,526,118,400
  5. Step 5: Solve for x
    x = 15,705,845,254,613,526,118,400/57,695,503,806
  6. Step 6: Final answer
    x = 272,219,570,305.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.