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Finding the Third Proportional to 26,858,301,684,582 and 41,257,637,197,254

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Solution

The third proportional to 26,858,301,684,582 and 41,257,637,197,254 is: 63,376,778,140,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858,301,684,582 : 41,257,637,197,254 = 41,257,637,197,254 : x
  2. Step 2: Convert to fraction form
    26,858,301,684,582/41,257,637,197,254 = 41,257,637,197,254/x
  3. Step 3: Cross multiply
    26,858,301,684,582x = 41,257,637,197,254 × 41,257,637,197,254
  4. Step 4: Simplify right side
    26,858,301,684,582x = 1,702,192,627,100,236,950,301,310,976
  5. Step 5: Solve for x
    x = 1,702,192,627,100,236,950,301,310,976/26,858,301,684,582
  6. Step 6: Final answer
    x = 63,376,778,140,718.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.