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Finding the Third Proportional to 1,613,273,968.20 and 3,471,712,430.41

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Solution

The third proportional to 1,613,273,968.20 and 3,471,712,430.41 is: 7,471,010,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613,273,968.20 : 3,471,712,430.41 = 3,471,712,430.41 : x
  2. Step 2: Convert to fraction form
    1,613,273,968.20/3,471,712,430.41 = 3,471,712,430.41/x
  3. Step 3: Cross multiply
    1,613,273,968.20x = 3,471,712,430.41 × 3,471,712,430.41
  4. Step 4: Simplify right side
    1,613,273,968.20x = 12,052,787,199,491,778,560
  5. Step 5: Solve for x
    x = 12,052,787,199,491,778,560/1,613,273,968.20
  6. Step 6: Final answer
    x = 7,471,010,775.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.