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Finding the Third Proportional to 7,865,561 and 16,824,136

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Solution

The third proportional to 7,865,561 and 16,824,136 is: 35,986,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,561 : 16,824,136 = 16,824,136 : x
  2. Step 2: Convert to fraction form
    7,865,561/16,824,136 = 16,824,136/x
  3. Step 3: Cross multiply
    7,865,561x = 16,824,136 × 16,824,136
  4. Step 4: Simplify right side
    7,865,561x = 283,051,552,146,496
  5. Step 5: Solve for x
    x = 283,051,552,146,496/7,865,561
  6. Step 6: Final answer
    x = 35,986,187.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.