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Finding the Third Proportional to 30,646,692 and 65,942,988

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Solution

The third proportional to 30,646,692 and 65,942,988 is: 141,890,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,692 : 65,942,988 = 65,942,988 : x
  2. Step 2: Convert to fraction form
    30,646,692/65,942,988 = 65,942,988/x
  3. Step 3: Cross multiply
    30,646,692x = 65,942,988 × 65,942,988
  4. Step 4: Simplify right side
    30,646,692x = 4,348,477,666,368,144
  5. Step 5: Solve for x
    x = 4,348,477,666,368,144/30,646,692
  6. Step 6: Final answer
    x = 141,890,604.91

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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.