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Finding the Third Proportional to 65,728,946 and 141,850,444

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Solution

The third proportional to 65,728,946 and 141,850,444 is: 306,129,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728,946 : 141,850,444 = 141,850,444 : x
  2. Step 2: Convert to fraction form
    65,728,946/141,850,444 = 141,850,444/x
  3. Step 3: Cross multiply
    65,728,946x = 141,850,444 × 141,850,444
  4. Step 4: Simplify right side
    65,728,946x = 20,121,548,462,997,136
  5. Step 5: Solve for x
    x = 20,121,548,462,997,136/65,728,946
  6. Step 6: Final answer
    x = 306,129,181.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.