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Finding the Third Proportional to 6,578,143,962 and 14,204,729,988

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Solution

The third proportional to 6,578,143,962 and 14,204,729,988 is: 30,673,447,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,143,962 : 14,204,729,988 = 14,204,729,988 : x
  2. Step 2: Convert to fraction form
    6,578,143,962/14,204,729,988 = 14,204,729,988/x
  3. Step 3: Cross multiply
    6,578,143,962x = 14,204,729,988 × 14,204,729,988
  4. Step 4: Simplify right side
    6,578,143,962x = 201,774,354,031,986,475,008
  5. Step 5: Solve for x
    x = 201,774,354,031,986,475,008/6,578,143,962
  6. Step 6: Final answer
    x = 30,673,447,586.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.