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Finding the Third Proportional to 8,694,542,136 and 19,097,152,046

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Solution

The third proportional to 8,694,542,136 and 19,097,152,046 is: 41,945,994,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694,542,136 : 19,097,152,046 = 19,097,152,046 : x
  2. Step 2: Convert to fraction form
    8,694,542,136/19,097,152,046 = 19,097,152,046/x
  3. Step 3: Cross multiply
    8,694,542,136x = 19,097,152,046 × 19,097,152,046
  4. Step 4: Simplify right side
    8,694,542,136x = 364,701,216,268,041,977,856
  5. Step 5: Solve for x
    x = 364,701,216,268,041,977,856/8,694,542,136
  6. Step 6: Final answer
    x = 41,945,994,459.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.