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Finding the Third Proportional to 6,558,237,464 and 14,280,920,880

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Solution

The third proportional to 6,558,237,464 and 14,280,920,880 is: 31,097,486,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558,237,464 : 14,280,920,880 = 14,280,920,880 : x
  2. Step 2: Convert to fraction form
    6,558,237,464/14,280,920,880 = 14,280,920,880/x
  3. Step 3: Cross multiply
    6,558,237,464x = 14,280,920,880 × 14,280,920,880
  4. Step 4: Simplify right side
    6,558,237,464x = 203,944,701,180,819,963,904
  5. Step 5: Solve for x
    x = 203,944,701,180,819,963,904/6,558,237,464
  6. Step 6: Final answer
    x = 31,097,486,527.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.