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Finding the Third Proportional to 32,240,032 and 68,118,944

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Solution

The third proportional to 32,240,032 and 68,118,944 is: 143,926,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240,032 : 68,118,944 = 68,118,944 : x
  2. Step 2: Convert to fraction form
    32,240,032/68,118,944 = 68,118,944/x
  3. Step 3: Cross multiply
    32,240,032x = 68,118,944 × 68,118,944
  4. Step 4: Simplify right side
    32,240,032x = 4,640,190,531,675,136
  5. Step 5: Solve for x
    x = 4,640,190,531,675,136/32,240,032
  6. Step 6: Final answer
    x = 143,926,362.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.