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Finding the Third Proportional to 84,278,086,058 and 121,767,280,415

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Solution

The third proportional to 84,278,086,058 and 121,767,280,415 is: 175,932,692,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,278,086,058 : 121,767,280,415 = 121,767,280,415 : x
  2. Step 2: Convert to fraction form
    84,278,086,058/121,767,280,415 = 121,767,280,415/x
  3. Step 3: Cross multiply
    84,278,086,058x = 121,767,280,415 × 121,767,280,415
  4. Step 4: Simplify right side
    84,278,086,058x = 14,827,270,579,665,242,161,152
  5. Step 5: Solve for x
    x = 14,827,270,579,665,242,161,152/84,278,086,058
  6. Step 6: Final answer
    x = 175,932,692,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.