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Finding the Third Proportional to 6,513,802,178 and 14,222,156,460

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Solution

The third proportional to 6,513,802,178 and 14,222,156,460 is: 31,052,483,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,802,178 : 14,222,156,460 = 14,222,156,460 : x
  2. Step 2: Convert to fraction form
    6,513,802,178/14,222,156,460 = 14,222,156,460/x
  3. Step 3: Cross multiply
    6,513,802,178x = 14,222,156,460 × 14,222,156,460
  4. Step 4: Simplify right side
    6,513,802,178x = 202,269,734,372,719,722,496
  5. Step 5: Solve for x
    x = 202,269,734,372,719,722,496/6,513,802,178
  6. Step 6: Final answer
    x = 31,052,483,456.72

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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.