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Finding the Third Proportional to 5,458,087,304.63 and 8,165,312,313.38

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Solution

The third proportional to 5,458,087,304.63 and 8,165,312,313.38 is: 12,215,327,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,087,304.63 : 8,165,312,313.38 = 8,165,312,313.38 : x
  2. Step 2: Convert to fraction form
    5,458,087,304.63/8,165,312,313.38 = 8,165,312,313.38/x
  3. Step 3: Cross multiply
    5,458,087,304.63x = 8,165,312,313.38 × 8,165,312,313.38
  4. Step 4: Simplify right side
    5,458,087,304.63x = 66,672,325,174,953,394,176
  5. Step 5: Solve for x
    x = 66,672,325,174,953,394,176/5,458,087,304.63
  6. Step 6: Final answer
    x = 12,215,327,724.50

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Why These Related Problems?

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