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Finding the Third Proportional to 265,828,226,764 and 571,974,212,794

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Solution

The third proportional to 265,828,226,764 and 571,974,212,794 is: 1,230,698,876,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,828,226,764 : 571,974,212,794 = 571,974,212,794 : x
  2. Step 2: Convert to fraction form
    265,828,226,764/571,974,212,794 = 571,974,212,794/x
  3. Step 3: Cross multiply
    265,828,226,764x = 571,974,212,794 × 571,974,212,794
  4. Step 4: Simplify right side
    265,828,226,764x = 327,154,500,101,315,993,010,176
  5. Step 5: Solve for x
    x = 327,154,500,101,315,993,010,176/265,828,226,764
  6. Step 6: Final answer
    x = 1,230,698,876,804.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.