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Finding the Third Proportional to 5,920,052,432 and 13,163,735,104

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Solution

The third proportional to 5,920,052,432 and 13,163,735,104 is: 29,270,673,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920,052,432 : 13,163,735,104 = 13,163,735,104 : x
  2. Step 2: Convert to fraction form
    5,920,052,432/13,163,735,104 = 13,163,735,104/x
  3. Step 3: Cross multiply
    5,920,052,432x = 13,163,735,104 × 13,163,735,104
  4. Step 4: Simplify right side
    5,920,052,432x = 173,283,921,888,281,886,720
  5. Step 5: Solve for x
    x = 173,283,921,888,281,886,720/5,920,052,432
  6. Step 6: Final answer
    x = 29,270,673,508.16

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Why These Related Problems?

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