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Finding the Third Proportional to 6,631,525,449 and 14,381,957,634

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Solution

The third proportional to 6,631,525,449 and 14,381,957,634 is: 31,190,516,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631,525,449 : 14,381,957,634 = 14,381,957,634 : x
  2. Step 2: Convert to fraction form
    6,631,525,449/14,381,957,634 = 14,381,957,634/x
  3. Step 3: Cross multiply
    6,631,525,449x = 14,381,957,634 × 14,381,957,634
  4. Step 4: Simplify right side
    6,631,525,449x = 206,840,705,386,170,875,904
  5. Step 5: Solve for x
    x = 206,840,705,386,170,875,904/6,631,525,449
  6. Step 6: Final answer
    x = 31,190,516,718.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.