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Finding the Third Proportional to 55,005,026 and 116,566,838

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Solution

The third proportional to 55,005,026 and 116,566,838 is: 247,028,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,005,026 : 116,566,838 = 116,566,838 : x
  2. Step 2: Convert to fraction form
    55,005,026/116,566,838 = 116,566,838/x
  3. Step 3: Cross multiply
    55,005,026x = 116,566,838 × 116,566,838
  4. Step 4: Simplify right side
    55,005,026x = 13,587,827,721,318,244
  5. Step 5: Solve for x
    x = 13,587,827,721,318,244/55,005,026
  6. Step 6: Final answer
    x = 247,028,839.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.