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Finding the Third Proportional to 9,997,361,473.50 and 21,499,291,467

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Solution

The third proportional to 9,997,361,473.50 and 21,499,291,467 is: 46,234,152,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997,361,473.50 : 21,499,291,467 = 21,499,291,467 : x
  2. Step 2: Convert to fraction form
    9,997,361,473.50/21,499,291,467 = 21,499,291,467/x
  3. Step 3: Cross multiply
    9,997,361,473.50x = 21,499,291,467 × 21,499,291,467
  4. Step 4: Simplify right side
    9,997,361,473.50x = 462,219,533,583,019,016,192
  5. Step 5: Solve for x
    x = 462,219,533,583,019,016,192/9,997,361,473.50
  6. Step 6: Final answer
    x = 46,234,152,361.92

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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.