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Finding the Third Proportional to 31,843,924 and 69,649,944

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Solution

The third proportional to 31,843,924 and 69,649,944 is: 152,340,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843,924 : 69,649,944 = 69,649,944 : x
  2. Step 2: Convert to fraction form
    31,843,924/69,649,944 = 69,649,944/x
  3. Step 3: Cross multiply
    31,843,924x = 69,649,944 × 69,649,944
  4. Step 4: Simplify right side
    31,843,924x = 4,851,114,699,203,136
  5. Step 5: Solve for x
    x = 4,851,114,699,203,136/31,843,924
  6. Step 6: Final answer
    x = 152,340,355.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.