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Finding the Third Proportional to 3,193,880,943 and 6,950,164,729

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Solution

The third proportional to 3,193,880,943 and 6,950,164,729 is: 15,124,167,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,943 : 6,950,164,729 = 6,950,164,729 : x
  2. Step 2: Convert to fraction form
    3,193,880,943/6,950,164,729 = 6,950,164,729/x
  3. Step 3: Cross multiply
    3,193,880,943x = 6,950,164,729 × 6,950,164,729
  4. Step 4: Simplify right side
    3,193,880,943x = 48,304,789,760,235,642,880
  5. Step 5: Solve for x
    x = 48,304,789,760,235,642,880/3,193,880,943
  6. Step 6: Final answer
    x = 15,124,167,313.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.