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Finding the Third Proportional to 3,837,306,147,925.60 and 8,532,579,181,288.40

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Solution

The third proportional to 3,837,306,147,925.60 and 8,532,579,181,288.40 is: 18,972,921,283,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,306,147,925.60 : 8,532,579,181,288.40 = 8,532,579,181,288.40 : x
  2. Step 2: Convert to fraction form
    3,837,306,147,925.60/8,532,579,181,288.40 = 8,532,579,181,288.40/x
  3. Step 3: Cross multiply
    3,837,306,147,925.60x = 8,532,579,181,288.40 × 8,532,579,181,288.40
  4. Step 4: Simplify right side
    3,837,306,147,925.60x = 72,804,907,484,956,231,299,235,840
  5. Step 5: Solve for x
    x = 72,804,907,484,956,231,299,235,840/3,837,306,147,925.60
  6. Step 6: Final answer
    x = 18,972,921,283,414.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.