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Finding the Third Proportional to 74,913,854,964 and 108,237,583,710

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Solution

The third proportional to 74,913,854,964 and 108,237,583,710 is: 156,384,617,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,854,964 : 108,237,583,710 = 108,237,583,710 : x
  2. Step 2: Convert to fraction form
    74,913,854,964/108,237,583,710 = 108,237,583,710/x
  3. Step 3: Cross multiply
    74,913,854,964x = 108,237,583,710 × 108,237,583,710
  4. Step 4: Simplify right side
    74,913,854,964x = 11,715,374,527,379,257,950,208
  5. Step 5: Solve for x
    x = 11,715,374,527,379,257,950,208/74,913,854,964
  6. Step 6: Final answer
    x = 156,384,617,144.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.