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Finding the Third Proportional to 61,363,539,966 and 143,372,917,737

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Solution

The third proportional to 61,363,539,966 and 143,372,917,737 is: 334,983,828,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,363,539,966 : 143,372,917,737 = 143,372,917,737 : x
  2. Step 2: Convert to fraction form
    61,363,539,966/143,372,917,737 = 143,372,917,737/x
  3. Step 3: Cross multiply
    61,363,539,966x = 143,372,917,737 × 143,372,917,737
  4. Step 4: Simplify right side
    61,363,539,966x = 20,555,793,540,420,569,399,296
  5. Step 5: Solve for x
    x = 20,555,793,540,420,569,399,296/61,363,539,966
  6. Step 6: Final answer
    x = 334,983,828,374.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.