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Finding the Third Proportional to 6,460,677,504 and 14,023,984,536

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Solution

The third proportional to 6,460,677,504 and 14,023,984,536 is: 30,441,411,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,677,504 : 14,023,984,536 = 14,023,984,536 : x
  2. Step 2: Convert to fraction form
    6,460,677,504/14,023,984,536 = 14,023,984,536/x
  3. Step 3: Cross multiply
    6,460,677,504x = 14,023,984,536 × 14,023,984,536
  4. Step 4: Simplify right side
    6,460,677,504x = 196,672,142,265,967,149,056
  5. Step 5: Solve for x
    x = 196,672,142,265,967,149,056/6,460,677,504
  6. Step 6: Final answer
    x = 30,441,411,468.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.