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Finding the Third Proportional to 29,725,683.75 and 41,860,499.63

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Solution

The third proportional to 29,725,683.75 and 41,860,499.63 is: 58,949,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725,683.75 : 41,860,499.63 = 41,860,499.63 : x
  2. Step 2: Convert to fraction form
    29,725,683.75/41,860,499.63 = 41,860,499.63/x
  3. Step 3: Cross multiply
    29,725,683.75x = 41,860,499.63 × 41,860,499.63
  4. Step 4: Simplify right side
    29,725,683.75x = 1,752,301,428,854,625.25
  5. Step 5: Solve for x
    x = 1,752,301,428,854,625.25/29,725,683.75
  6. Step 6: Final answer
    x = 58,949,070.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.