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Finding the Third Proportional to 4,640,644,770 and 7,360,350,540

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Solution

The third proportional to 4,640,644,770 and 7,360,350,540 is: 11,673,972,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,644,770 : 7,360,350,540 = 7,360,350,540 : x
  2. Step 2: Convert to fraction form
    4,640,644,770/7,360,350,540 = 7,360,350,540/x
  3. Step 3: Cross multiply
    4,640,644,770x = 7,360,350,540 × 7,360,350,540
  4. Step 4: Simplify right side
    4,640,644,770x = 54,174,760,071,678,287,872
  5. Step 5: Solve for x
    x = 54,174,760,071,678,287,872/4,640,644,770
  6. Step 6: Final answer
    x = 11,673,972,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.