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Finding the Third Proportional to 4,161,880,808 and 6,013,199,052

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Solution

The third proportional to 4,161,880,808 and 6,013,199,052 is: 8,688,034,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161,880,808 : 6,013,199,052 = 6,013,199,052 : x
  2. Step 2: Convert to fraction form
    4,161,880,808/6,013,199,052 = 6,013,199,052/x
  3. Step 3: Cross multiply
    4,161,880,808x = 6,013,199,052 × 6,013,199,052
  4. Step 4: Simplify right side
    4,161,880,808x = 36,158,562,838,973,698,048
  5. Step 5: Solve for x
    x = 36,158,562,838,973,698,048/4,161,880,808
  6. Step 6: Final answer
    x = 8,688,034,210.27

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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.