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Finding the Third Proportional to 508,729,090 and 1,101,972,770

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Solution

The third proportional to 508,729,090 and 1,101,972,770 is: 2,387,015,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,729,090 : 1,101,972,770 = 1,101,972,770 : x
  2. Step 2: Convert to fraction form
    508,729,090/1,101,972,770 = 1,101,972,770/x
  3. Step 3: Cross multiply
    508,729,090x = 1,101,972,770 × 1,101,972,770
  4. Step 4: Simplify right side
    508,729,090x = 1,214,343,985,821,473,024
  5. Step 5: Solve for x
    x = 1,214,343,985,821,473,024/508,729,090
  6. Step 6: Final answer
    x = 2,387,015,033.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.