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Finding the Third Proportional to 6,664,580,504 and 13,880,784,400

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Solution

The third proportional to 6,664,580,504 and 13,880,784,400 is: 28,910,473,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664,580,504 : 13,880,784,400 = 13,880,784,400 : x
  2. Step 2: Convert to fraction form
    6,664,580,504/13,880,784,400 = 13,880,784,400/x
  3. Step 3: Cross multiply
    6,664,580,504x = 13,880,784,400 × 13,880,784,400
  4. Step 4: Simplify right side
    6,664,580,504x = 192,676,175,559,283,376,128
  5. Step 5: Solve for x
    x = 192,676,175,559,283,376,128/6,664,580,504
  6. Step 6: Final answer
    x = 28,910,473,126.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.