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Finding the Third Proportional to 65,891,016 and 96,411,017.25

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Solution

The third proportional to 65,891,016 and 96,411,017.25 is: 141,067,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891,016 : 96,411,017.25 = 96,411,017.25 : x
  2. Step 2: Convert to fraction form
    65,891,016/96,411,017.25 = 96,411,017.25/x
  3. Step 3: Cross multiply
    65,891,016x = 96,411,017.25 × 96,411,017.25
  4. Step 4: Simplify right side
    65,891,016x = 9,295,084,247,179,798
  5. Step 5: Solve for x
    x = 9,295,084,247,179,798/65,891,016
  6. Step 6: Final answer
    x = 141,067,550.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.