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Finding the Third Proportional to 49,717,368,886 and 106,526,286,477

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Solution

The third proportional to 49,717,368,886 and 106,526,286,477 is: 228,247,189,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,717,368,886 : 106,526,286,477 = 106,526,286,477 : x
  2. Step 2: Convert to fraction form
    49,717,368,886/106,526,286,477 = 106,526,286,477/x
  3. Step 3: Cross multiply
    49,717,368,886x = 106,526,286,477 × 106,526,286,477
  4. Step 4: Simplify right side
    49,717,368,886x = 11,347,849,710,579,872,694,272
  5. Step 5: Solve for x
    x = 11,347,849,710,579,872,694,272/49,717,368,886
  6. Step 6: Final answer
    x = 228,247,189,359.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.