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Finding the Third Proportional to 10,976,906,375 and 14,810,423,893

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Solution

The third proportional to 10,976,906,375 and 14,810,423,893 is: 19,982,739,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976,906,375 : 14,810,423,893 = 14,810,423,893 : x
  2. Step 2: Convert to fraction form
    10,976,906,375/14,810,423,893 = 14,810,423,893/x
  3. Step 3: Cross multiply
    10,976,906,375x = 14,810,423,893 × 14,810,423,893
  4. Step 4: Simplify right side
    10,976,906,375x = 219,348,655,890,345,263,104
  5. Step 5: Solve for x
    x = 219,348,655,890,345,263,104/10,976,906,375
  6. Step 6: Final answer
    x = 19,982,739,070.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.