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Finding the Third Proportional to 19,645,816 and 41,327,642

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Solution

The third proportional to 19,645,816 and 41,327,642 is: 86,938,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645,816 : 41,327,642 = 41,327,642 : x
  2. Step 2: Convert to fraction form
    19,645,816/41,327,642 = 41,327,642/x
  3. Step 3: Cross multiply
    19,645,816x = 41,327,642 × 41,327,642
  4. Step 4: Simplify right side
    19,645,816x = 1,707,973,993,280,164
  5. Step 5: Solve for x
    x = 1,707,973,993,280,164/19,645,816
  6. Step 6: Final answer
    x = 86,938,307.54

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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.