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Finding the Third Proportional to 32,464,641,999 and 69,815,100,984

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Solution

The third proportional to 32,464,641,999 and 69,815,100,984 is: 150,137,134,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464,641,999 : 69,815,100,984 = 69,815,100,984 : x
  2. Step 2: Convert to fraction form
    32,464,641,999/69,815,100,984 = 69,815,100,984/x
  3. Step 3: Cross multiply
    32,464,641,999x = 69,815,100,984 × 69,815,100,984
  4. Step 4: Simplify right side
    32,464,641,999x = 4,874,148,325,406,118,248,448
  5. Step 5: Solve for x
    x = 4,874,148,325,406,118,248,448/32,464,641,999
  6. Step 6: Final answer
    x = 150,137,134,595.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.