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Finding the Third Proportional to 40,429,431.44 and 66,010,635.13

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Solution

The third proportional to 40,429,431.44 and 66,010,635.13 is: 107,778,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429,431.44 : 66,010,635.13 = 66,010,635.13 : x
  2. Step 2: Convert to fraction form
    40,429,431.44/66,010,635.13 = 66,010,635.13/x
  3. Step 3: Cross multiply
    40,429,431.44x = 66,010,635.13 × 66,010,635.13
  4. Step 4: Simplify right side
    40,429,431.44x = 4,357,403,949,605,884
  5. Step 5: Solve for x
    x = 4,357,403,949,605,884/40,429,431.44
  6. Step 6: Final answer
    x = 107,778,017.02

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.