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Finding the Third Proportional to 22,768,146,846 and 34,018,296,863.63

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Solution

The third proportional to 22,768,146,846 and 34,018,296,863.63 is: 50,827,347,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768,146,846 : 34,018,296,863.63 = 34,018,296,863.63 : x
  2. Step 2: Convert to fraction form
    22,768,146,846/34,018,296,863.63 = 34,018,296,863.63/x
  3. Step 3: Cross multiply
    22,768,146,846x = 34,018,296,863.63 × 34,018,296,863.63
  4. Step 4: Simplify right side
    22,768,146,846x = 1,157,244,521,501,718,478,848
  5. Step 5: Solve for x
    x = 1,157,244,521,501,718,478,848/22,768,146,846
  6. Step 6: Final answer
    x = 50,827,347,931.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.