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Finding the Third Proportional to 7,445,651,712 and 11,544,739,328

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Solution

The third proportional to 7,445,651,712 and 11,544,739,328 is: 17,900,515,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445,651,712 : 11,544,739,328 = 11,544,739,328 : x
  2. Step 2: Convert to fraction form
    7,445,651,712/11,544,739,328 = 11,544,739,328/x
  3. Step 3: Cross multiply
    7,445,651,712x = 11,544,739,328 × 11,544,739,328
  4. Step 4: Simplify right side
    7,445,651,712x = 133,281,006,151,469,891,584
  5. Step 5: Solve for x
    x = 133,281,006,151,469,891,584/7,445,651,712
  6. Step 6: Final answer
    x = 17,900,515,805.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.