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Finding the Third Proportional to 4,161,880,810 and 6,013,199,055

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Solution

The third proportional to 4,161,880,810 and 6,013,199,055 is: 8,688,034,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161,880,810 : 6,013,199,055 = 6,013,199,055 : x
  2. Step 2: Convert to fraction form
    4,161,880,810/6,013,199,055 = 6,013,199,055/x
  3. Step 3: Cross multiply
    4,161,880,810x = 6,013,199,055 × 6,013,199,055
  4. Step 4: Simplify right side
    4,161,880,810x = 36,158,562,875,052,892,160
  5. Step 5: Solve for x
    x = 36,158,562,875,052,892,160/4,161,880,810
  6. Step 6: Final answer
    x = 8,688,034,214.76

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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.