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Finding the Third Proportional to 3,501,424,092 and 7,583,891,640

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Solution

The third proportional to 3,501,424,092 and 7,583,891,640 is: 16,426,291,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501,424,092 : 7,583,891,640 = 7,583,891,640 : x
  2. Step 2: Convert to fraction form
    3,501,424,092/7,583,891,640 = 7,583,891,640/x
  3. Step 3: Cross multiply
    3,501,424,092x = 7,583,891,640 × 7,583,891,640
  4. Step 4: Simplify right side
    3,501,424,092x = 57,515,412,407,261,888,512
  5. Step 5: Solve for x
    x = 57,515,412,407,261,888,512/3,501,424,092
  6. Step 6: Final answer
    x = 16,426,291,387.74

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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.