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Finding the Third Proportional to 14,741,136 and 31,896,864

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Solution

The third proportional to 14,741,136 and 31,896,864 is: 69,018,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741,136 : 31,896,864 = 31,896,864 : x
  2. Step 2: Convert to fraction form
    14,741,136/31,896,864 = 31,896,864/x
  3. Step 3: Cross multiply
    14,741,136x = 31,896,864 × 31,896,864
  4. Step 4: Simplify right side
    14,741,136x = 1,017,409,933,034,496
  5. Step 5: Solve for x
    x = 1,017,409,933,034,496/14,741,136
  6. Step 6: Final answer
    x = 69,018,421.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.