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Finding the Third Proportional to 19,646,436.09 and 41,328,764.16

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Solution

The third proportional to 19,646,436.09 and 41,328,764.16 is: 86,940,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646,436.09 : 41,328,764.16 = 41,328,764.16 : x
  2. Step 2: Convert to fraction form
    19,646,436.09/41,328,764.16 = 41,328,764.16/x
  3. Step 3: Cross multiply
    19,646,436.09x = 41,328,764.16 × 41,328,764.16
  4. Step 4: Simplify right side
    19,646,436.09x = 1,708,066,746,682,934.75
  5. Step 5: Solve for x
    x = 1,708,066,746,682,934.75/19,646,436.09
  6. Step 6: Final answer
    x = 86,940,284.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.