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Finding the Third Proportional to 2,892,238,024 and 4,072,908,471

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Solution

The third proportional to 2,892,238,024 and 4,072,908,471 is: 5,735,552,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892,238,024 : 4,072,908,471 = 4,072,908,471 : x
  2. Step 2: Convert to fraction form
    2,892,238,024/4,072,908,471 = 4,072,908,471/x
  3. Step 3: Cross multiply
    2,892,238,024x = 4,072,908,471 × 4,072,908,471
  4. Step 4: Simplify right side
    2,892,238,024x = 16,588,583,413,143,558,144
  5. Step 5: Solve for x
    x = 16,588,583,413,143,558,144/2,892,238,024
  6. Step 6: Final answer
    x = 5,735,552,632.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.