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Finding the Third Proportional to 235,778,669,379 and 512,868,201,390

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Solution

The third proportional to 235,778,669,379 and 512,868,201,390 is: 1,115,596,218,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778,669,379 : 512,868,201,390 = 512,868,201,390 : x
  2. Step 2: Convert to fraction form
    235,778,669,379/512,868,201,390 = 512,868,201,390/x
  3. Step 3: Cross multiply
    235,778,669,379x = 512,868,201,390 × 512,868,201,390
  4. Step 4: Simplify right side
    235,778,669,379x = 263,033,791,997,013,582,151,680
  5. Step 5: Solve for x
    x = 263,033,791,997,013,582,151,680/235,778,669,379
  6. Step 6: Final answer
    x = 1,115,596,218,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.