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Finding the Third Proportional to 6,578,700,660 and 14,362,933,392

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Solution

The third proportional to 6,578,700,660 and 14,362,933,392 is: 31,357,841,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,700,660 : 14,362,933,392 = 14,362,933,392 : x
  2. Step 2: Convert to fraction form
    6,578,700,660/14,362,933,392 = 14,362,933,392/x
  3. Step 3: Cross multiply
    6,578,700,660x = 14,362,933,392 × 14,362,933,392
  4. Step 4: Simplify right side
    6,578,700,660x = 206,293,855,623,028,637,696
  5. Step 5: Solve for x
    x = 206,293,855,623,028,637,696/6,578,700,660
  6. Step 6: Final answer
    x = 31,357,841,963.74

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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.