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Finding the Third Proportional to 53,174,296 and 115,423,732

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Solution

The third proportional to 53,174,296 and 115,423,732 is: 250,546,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,174,296 : 115,423,732 = 115,423,732 : x
  2. Step 2: Convert to fraction form
    53,174,296/115,423,732 = 115,423,732/x
  3. Step 3: Cross multiply
    53,174,296x = 115,423,732 × 115,423,732
  4. Step 4: Simplify right side
    53,174,296x = 13,322,637,908,807,824
  5. Step 5: Solve for x
    x = 13,322,637,908,807,824/53,174,296
  6. Step 6: Final answer
    x = 250,546,578.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.