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Finding the Third Proportional to 74,913,854,962 and 108,237,583,707

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Solution

The third proportional to 74,913,854,962 and 108,237,583,707 is: 156,384,617,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,854,962 : 108,237,583,707 = 108,237,583,707 : x
  2. Step 2: Convert to fraction form
    74,913,854,962/108,237,583,707 = 108,237,583,707/x
  3. Step 3: Cross multiply
    74,913,854,962x = 108,237,583,707 × 108,237,583,707
  4. Step 4: Simplify right side
    74,913,854,962x = 11,715,374,526,729,832,890,368
  5. Step 5: Solve for x
    x = 11,715,374,526,729,832,890,368/74,913,854,962
  6. Step 6: Final answer
    x = 156,384,617,140.21

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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.