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Finding the Third Proportional to 31,003,088 and 72,414,136

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Solution

The third proportional to 31,003,088 and 72,414,136 is: 169,138,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,088 : 72,414,136 = 72,414,136 : x
  2. Step 2: Convert to fraction form
    31,003,088/72,414,136 = 72,414,136/x
  3. Step 3: Cross multiply
    31,003,088x = 72,414,136 × 72,414,136
  4. Step 4: Simplify right side
    31,003,088x = 5,243,807,092,626,496
  5. Step 5: Solve for x
    x = 5,243,807,092,626,496/31,003,088
  6. Step 6: Final answer
    x = 169,138,219.16

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.