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Finding the Third Proportional to 3,002,594,995 and 6,457,070,213

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Solution

The third proportional to 3,002,594,995 and 6,457,070,213 is: 13,885,907,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,594,995 : 6,457,070,213 = 6,457,070,213 : x
  2. Step 2: Convert to fraction form
    3,002,594,995/6,457,070,213 = 6,457,070,213/x
  3. Step 3: Cross multiply
    3,002,594,995x = 6,457,070,213 × 6,457,070,213
  4. Step 4: Simplify right side
    3,002,594,995x = 41,693,755,735,611,867,136
  5. Step 5: Solve for x
    x = 41,693,755,735,611,867,136/3,002,594,995
  6. Step 6: Final answer
    x = 13,885,907,291.87

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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.