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Finding the Third Proportional to 3,501,424,088 and 7,583,891,632

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Solution

The third proportional to 3,501,424,088 and 7,583,891,632 is: 16,426,291,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501,424,088 : 7,583,891,632 = 7,583,891,632 : x
  2. Step 2: Convert to fraction form
    3,501,424,088/7,583,891,632 = 7,583,891,632/x
  3. Step 3: Cross multiply
    3,501,424,088x = 7,583,891,632 × 7,583,891,632
  4. Step 4: Simplify right side
    3,501,424,088x = 57,515,412,285,919,625,216
  5. Step 5: Solve for x
    x = 57,515,412,285,919,625,216/3,501,424,088
  6. Step 6: Final answer
    x = 16,426,291,371.86

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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.