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Finding the Third Proportional to 809,074,233 and 1,775,630,897

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Solution

The third proportional to 809,074,233 and 1,775,630,897 is: 3,896,879,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,074,233 : 1,775,630,897 = 1,775,630,897 : x
  2. Step 2: Convert to fraction form
    809,074,233/1,775,630,897 = 1,775,630,897/x
  3. Step 3: Cross multiply
    809,074,233x = 1,775,630,897 × 1,775,630,897
  4. Step 4: Simplify right side
    809,074,233x = 3,152,865,082,381,024,768
  5. Step 5: Solve for x
    x = 3,152,865,082,381,024,768/809,074,233
  6. Step 6: Final answer
    x = 3,896,879,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.