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Finding the Third Proportional to 14,753,707,857 and 22,663,499,901.75

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Solution

The third proportional to 14,753,707,857 and 22,663,499,901.75 is: 34,813,907,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753,707,857 : 22,663,499,901.75 = 22,663,499,901.75 : x
  2. Step 2: Convert to fraction form
    14,753,707,857/22,663,499,901.75 = 22,663,499,901.75/x
  3. Step 3: Cross multiply
    14,753,707,857x = 22,663,499,901.75 × 22,663,499,901.75
  4. Step 4: Simplify right side
    14,753,707,857x = 513,634,227,796,622,245,888
  5. Step 5: Solve for x
    x = 513,634,227,796,622,245,888/14,753,707,857
  6. Step 6: Final answer
    x = 34,813,907,986.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.