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Finding the Third Proportional to 1,918,653,073,963.20 and 4,266,289,590,645.20

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Solution

The third proportional to 1,918,653,073,963.20 and 4,266,289,590,645.20 is: 9,486,460,641,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,653,073,963.20 : 4,266,289,590,645.20 = 4,266,289,590,645.20 : x
  2. Step 2: Convert to fraction form
    1,918,653,073,963.20/4,266,289,590,645.20 = 4,266,289,590,645.20/x
  3. Step 3: Cross multiply
    1,918,653,073,963.20x = 4,266,289,590,645.20 × 4,266,289,590,645.20
  4. Step 4: Simplify right side
    1,918,653,073,963.20x = 18,201,226,871,247,589,777,342,464
  5. Step 5: Solve for x
    x = 18,201,226,871,247,589,777,342,464/1,918,653,073,963.20
  6. Step 6: Final answer
    x = 9,486,460,641,709.89

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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.