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Finding the Third Proportional to 272,430,920 and 605,328,016

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Solution

The third proportional to 272,430,920 and 605,328,016 is: 1,345,008,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,430,920 : 605,328,016 = 605,328,016 : x
  2. Step 2: Convert to fraction form
    272,430,920/605,328,016 = 605,328,016/x
  3. Step 3: Cross multiply
    272,430,920x = 605,328,016 × 605,328,016
  4. Step 4: Simplify right side
    272,430,920x = 366,422,006,954,496,256
  5. Step 5: Solve for x
    x = 366,422,006,954,496,256/272,430,920
  6. Step 6: Final answer
    x = 1,345,008,881.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.