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Finding the Third Proportional to 1,306,565,856 and 1,997,342,207

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Solution

The third proportional to 1,306,565,856 and 1,997,342,207 is: 3,053,329,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,565,856 : 1,997,342,207 = 1,997,342,207 : x
  2. Step 2: Convert to fraction form
    1,306,565,856/1,997,342,207 = 1,997,342,207/x
  3. Step 3: Cross multiply
    1,306,565,856x = 1,997,342,207 × 1,997,342,207
  4. Step 4: Simplify right side
    1,306,565,856x = 3,989,375,891,863,630,848
  5. Step 5: Solve for x
    x = 3,989,375,891,863,630,848/1,306,565,856
  6. Step 6: Final answer
    x = 3,053,329,362.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.