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Finding the Third Proportional to 22,058,597,671,402 and 48,272,570,653,234

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Solution

The third proportional to 22,058,597,671,402 and 48,272,570,653,234 is: 105,638,677,135,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058,597,671,402 : 48,272,570,653,234 = 48,272,570,653,234 : x
  2. Step 2: Convert to fraction form
    22,058,597,671,402/48,272,570,653,234 = 48,272,570,653,234/x
  3. Step 3: Cross multiply
    22,058,597,671,402x = 48,272,570,653,234 × 48,272,570,653,234
  4. Step 4: Simplify right side
    22,058,597,671,402x = 2,330,241,077,471,468,544,677,904,384
  5. Step 5: Solve for x
    x = 2,330,241,077,471,468,544,677,904,384/22,058,597,671,402
  6. Step 6: Final answer
    x = 105,638,677,135,515.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.