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Finding the Third Proportional to 51,359,371,582 and 104,162,851,916

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Solution

The third proportional to 51,359,371,582 and 104,162,851,916 is: 211,254,526,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,359,371,582 : 104,162,851,916 = 104,162,851,916 : x
  2. Step 2: Convert to fraction form
    51,359,371,582/104,162,851,916 = 104,162,851,916/x
  3. Step 3: Cross multiply
    51,359,371,582x = 104,162,851,916 × 104,162,851,916
  4. Step 4: Simplify right side
    51,359,371,582x = 10,849,899,719,274,545,545,216
  5. Step 5: Solve for x
    x = 10,849,899,719,274,545,545,216/51,359,371,582
  6. Step 6: Final answer
    x = 211,254,526,390.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.