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Finding the Third Proportional to 55,536,655,194 and 84,604,356,018

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Solution

The third proportional to 55,536,655,194 and 84,604,356,018 is: 128,885,994,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536,655,194 : 84,604,356,018 = 84,604,356,018 : x
  2. Step 2: Convert to fraction form
    55,536,655,194/84,604,356,018 = 84,604,356,018/x
  3. Step 3: Cross multiply
    55,536,655,194x = 84,604,356,018 × 84,604,356,018
  4. Step 4: Simplify right side
    55,536,655,194x = 7,157,897,057,220,492,787,712
  5. Step 5: Solve for x
    x = 7,157,897,057,220,492,787,712/55,536,655,194
  6. Step 6: Final answer
    x = 128,885,994,884.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.