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Finding the Third Proportional to 10,800,667,413 and 16,229,755,795.50

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Solution

The third proportional to 10,800,667,413 and 16,229,755,795.50 is: 24,387,842,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800,667,413 : 16,229,755,795.50 = 16,229,755,795.50 : x
  2. Step 2: Convert to fraction form
    10,800,667,413/16,229,755,795.50 = 16,229,755,795.50/x
  3. Step 3: Cross multiply
    10,800,667,413x = 16,229,755,795.50 × 16,229,755,795.50
  4. Step 4: Simplify right side
    10,800,667,413x = 263,404,973,181,565,829,120
  5. Step 5: Solve for x
    x = 263,404,973,181,565,829,120/10,800,667,413
  6. Step 6: Final answer
    x = 24,387,842,260.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.