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Finding the Third Proportional to 53,926,840 and 115,411,952

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Solution

The third proportional to 53,926,840 and 115,411,952 is: 246,999,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,926,840 : 115,411,952 = 115,411,952 : x
  2. Step 2: Convert to fraction form
    53,926,840/115,411,952 = 115,411,952/x
  3. Step 3: Cross multiply
    53,926,840x = 115,411,952 × 115,411,952
  4. Step 4: Simplify right side
    53,926,840x = 13,319,918,664,450,304
  5. Step 5: Solve for x
    x = 13,319,918,664,450,304/53,926,840
  6. Step 6: Final answer
    x = 246,999,799.44

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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.