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Finding the Third Proportional to 6,578,700,662 and 14,362,933,396

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Solution

The third proportional to 6,578,700,662 and 14,362,933,396 is: 31,357,841,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,700,662 : 14,362,933,396 = 14,362,933,396 : x
  2. Step 2: Convert to fraction form
    6,578,700,662/14,362,933,396 = 14,362,933,396/x
  3. Step 3: Cross multiply
    6,578,700,662x = 14,362,933,396 × 14,362,933,396
  4. Step 4: Simplify right side
    6,578,700,662x = 206,293,855,737,932,087,296
  5. Step 5: Solve for x
    x = 206,293,855,737,932,087,296/6,578,700,662
  6. Step 6: Final answer
    x = 31,357,841,971.67

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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.