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Finding the Third Proportional to 53,926,826 and 115,411,924

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Solution

The third proportional to 53,926,826 and 115,411,924 is: 246,999,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,926,826 : 115,411,924 = 115,411,924 : x
  2. Step 2: Convert to fraction form
    53,926,826/115,411,924 = 115,411,924/x
  3. Step 3: Cross multiply
    53,926,826x = 115,411,924 × 115,411,924
  4. Step 4: Simplify right side
    53,926,826x = 13,319,912,201,381,776
  5. Step 5: Solve for x
    x = 13,319,912,201,381,776/53,926,826
  6. Step 6: Final answer
    x = 246,999,743.72

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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.