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Finding the Third Proportional to 53,926,830 and 115,411,932

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Solution

The third proportional to 53,926,830 and 115,411,932 is: 246,999,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,926,830 : 115,411,932 = 115,411,932 : x
  2. Step 2: Convert to fraction form
    53,926,830/115,411,932 = 115,411,932/x
  3. Step 3: Cross multiply
    53,926,830x = 115,411,932 × 115,411,932
  4. Step 4: Simplify right side
    53,926,830x = 13,319,914,047,972,624
  5. Step 5: Solve for x
    x = 13,319,914,047,972,624/53,926,830
  6. Step 6: Final answer
    x = 246,999,759.64

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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.