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Finding the Third Proportional to 30,646,702 and 65,943,007

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Solution

The third proportional to 30,646,702 and 65,943,007 is: 141,890,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,702 : 65,943,007 = 65,943,007 : x
  2. Step 2: Convert to fraction form
    30,646,702/65,943,007 = 65,943,007/x
  3. Step 3: Cross multiply
    30,646,702x = 65,943,007 × 65,943,007
  4. Step 4: Simplify right side
    30,646,702x = 4,348,480,172,202,049
  5. Step 5: Solve for x
    x = 4,348,480,172,202,049/30,646,702
  6. Step 6: Final answer
    x = 141,890,640.38

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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.