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Finding the Third Proportional to 272,430,918 and 605,328,012

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Solution

The third proportional to 272,430,918 and 605,328,012 is: 1,345,008,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,430,918 : 605,328,012 = 605,328,012 : x
  2. Step 2: Convert to fraction form
    272,430,918/605,328,012 = 605,328,012/x
  3. Step 3: Cross multiply
    272,430,918x = 605,328,012 × 605,328,012
  4. Step 4: Simplify right side
    272,430,918x = 366,422,002,111,872,128
  5. Step 5: Solve for x
    x = 366,422,002,111,872,128/272,430,918
  6. Step 6: Final answer
    x = 1,345,008,873.45

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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.