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Finding the Third Proportional to 11,058,374,893.50 and 24,370,798,833

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Solution

The third proportional to 11,058,374,893.50 and 24,370,798,833 is: 53,709,142,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058,374,893.50 : 24,370,798,833 = 24,370,798,833 : x
  2. Step 2: Convert to fraction form
    11,058,374,893.50/24,370,798,833 = 24,370,798,833/x
  3. Step 3: Cross multiply
    11,058,374,893.50x = 24,370,798,833 × 24,370,798,833
  4. Step 4: Simplify right side
    11,058,374,893.50x = 593,935,835,758,554,120,192
  5. Step 5: Solve for x
    x = 593,935,835,758,554,120,192/11,058,374,893.50
  6. Step 6: Final answer
    x = 53,709,142,751.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.