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Finding the Third Proportional to 6,430,676,269 and 13,389,822,938

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Solution

The third proportional to 6,430,676,269 and 13,389,822,938 is: 27,880,016,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,676,269 : 13,389,822,938 = 13,389,822,938 : x
  2. Step 2: Convert to fraction form
    6,430,676,269/13,389,822,938 = 13,389,822,938/x
  3. Step 3: Cross multiply
    6,430,676,269x = 13,389,822,938 × 13,389,822,938
  4. Step 4: Simplify right side
    6,430,676,269x = 179,287,358,310,990,938,112
  5. Step 5: Solve for x
    x = 179,287,358,310,990,938,112/6,430,676,269
  6. Step 6: Final answer
    x = 27,880,016,161.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.