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Finding the Third Proportional to 7,878,308 and 17,136,977

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Solution

The third proportional to 7,878,308 and 17,136,977 is: 37,276,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,308 : 17,136,977 = 17,136,977 : x
  2. Step 2: Convert to fraction form
    7,878,308/17,136,977 = 17,136,977/x
  3. Step 3: Cross multiply
    7,878,308x = 17,136,977 × 17,136,977
  4. Step 4: Simplify right side
    7,878,308x = 293,675,980,698,529
  5. Step 5: Solve for x
    x = 293,675,980,698,529/7,878,308
  6. Step 6: Final answer
    x = 37,276,529.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.