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Finding the Third Proportional to 30,665,986 and 65,827,014

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Solution

The third proportional to 30,665,986 and 65,827,014 is: 141,302,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,986 : 65,827,014 = 65,827,014 : x
  2. Step 2: Convert to fraction form
    30,665,986/65,827,014 = 65,827,014/x
  3. Step 3: Cross multiply
    30,665,986x = 65,827,014 × 65,827,014
  4. Step 4: Simplify right side
    30,665,986x = 4,333,195,772,156,196
  5. Step 5: Solve for x
    x = 4,333,195,772,156,196/30,665,986
  6. Step 6: Final answer
    x = 141,302,998.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.