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Finding the Third Proportional to 13,636,342,524 and 31,860,649,135.50

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Solution

The third proportional to 13,636,342,524 and 31,860,649,135.50 is: 74,440,852,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636,342,524 : 31,860,649,135.50 = 31,860,649,135.50 : x
  2. Step 2: Convert to fraction form
    13,636,342,524/31,860,649,135.50 = 31,860,649,135.50/x
  3. Step 3: Cross multiply
    13,636,342,524x = 31,860,649,135.50 × 31,860,649,135.50
  4. Step 4: Simplify right side
    13,636,342,524x = 1,015,100,963,335,436,894,208
  5. Step 5: Solve for x
    x = 1,015,100,963,335,436,894,208/13,636,342,524
  6. Step 6: Final answer
    x = 74,440,852,563.57

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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.