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Finding the Third Proportional to 909,440,064 and 2,000,278,656

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Solution

The third proportional to 909,440,064 and 2,000,278,656 is: 4,399,536,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,440,064 : 2,000,278,656 = 2,000,278,656 : x
  2. Step 2: Convert to fraction form
    909,440,064/2,000,278,656 = 2,000,278,656/x
  3. Step 3: Cross multiply
    909,440,064x = 2,000,278,656 × 2,000,278,656
  4. Step 4: Simplify right side
    909,440,064x = 4,001,114,701,649,166,336
  5. Step 5: Solve for x
    x = 4,001,114,701,649,166,336/909,440,064
  6. Step 6: Final answer
    x = 4,399,536,440.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.