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Finding the Third Proportional to 4,161,880,770 and 6,013,199,001.75

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Solution

The third proportional to 4,161,880,770 and 6,013,199,001.75 is: 8,688,034,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161,880,770 : 6,013,199,001.75 = 6,013,199,001.75 : x
  2. Step 2: Convert to fraction form
    4,161,880,770/6,013,199,001.75 = 6,013,199,001.75/x
  3. Step 3: Cross multiply
    4,161,880,770x = 6,013,199,001.75 × 6,013,199,001.75
  4. Step 4: Simplify right side
    4,161,880,770x = 36,158,562,234,647,195,648
  5. Step 5: Solve for x
    x = 36,158,562,234,647,195,648/4,161,880,770
  6. Step 6: Final answer
    x = 8,688,034,144.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.