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Finding the Third Proportional to 7,666,136 and 16,887,770

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Solution

The third proportional to 7,666,136 and 16,887,770 is: 37,202,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,136 : 16,887,770 = 16,887,770 : x
  2. Step 2: Convert to fraction form
    7,666,136/16,887,770 = 16,887,770/x
  3. Step 3: Cross multiply
    7,666,136x = 16,887,770 × 16,887,770
  4. Step 4: Simplify right side
    7,666,136x = 285,196,775,572,900
  5. Step 5: Solve for x
    x = 285,196,775,572,900/7,666,136
  6. Step 6: Final answer
    x = 37,202,154.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.