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Finding the Third Proportional to 16,374,261,919 and 24,495,936,949

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Solution

The third proportional to 16,374,261,919 and 24,495,936,949 is: 36,645,983,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374,261,919 : 24,495,936,949 = 24,495,936,949 : x
  2. Step 2: Convert to fraction form
    16,374,261,919/24,495,936,949 = 24,495,936,949/x
  3. Step 3: Cross multiply
    16,374,261,919x = 24,495,936,949 × 24,495,936,949
  4. Step 4: Simplify right side
    16,374,261,919x = 600,050,927,009,383,448,576
  5. Step 5: Solve for x
    x = 600,050,927,009,383,448,576/16,374,261,919
  6. Step 6: Final answer
    x = 36,645,983,188.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.