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Finding the Third Proportional to 3,193,880,944 and 6,950,164,731

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Solution

The third proportional to 3,193,880,944 and 6,950,164,731 is: 15,124,167,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,944 : 6,950,164,731 = 6,950,164,731 : x
  2. Step 2: Convert to fraction form
    3,193,880,944/6,950,164,731 = 6,950,164,731/x
  3. Step 3: Cross multiply
    3,193,880,944x = 6,950,164,731 × 6,950,164,731
  4. Step 4: Simplify right side
    3,193,880,944x = 48,304,789,788,036,300,800
  5. Step 5: Solve for x
    x = 48,304,789,788,036,300,800/3,193,880,944
  6. Step 6: Final answer
    x = 15,124,167,317.13

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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.