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Finding the Third Proportional to 8,084,510,856 and 17,592,603,919

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Solution

The third proportional to 8,084,510,856 and 17,592,603,919 is: 38,283,047,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084,510,856 : 17,592,603,919 = 17,592,603,919 : x
  2. Step 2: Convert to fraction form
    8,084,510,856/17,592,603,919 = 17,592,603,919/x
  3. Step 3: Cross multiply
    8,084,510,856x = 17,592,603,919 × 17,592,603,919
  4. Step 4: Simplify right side
    8,084,510,856x = 309,499,712,650,814,160,896
  5. Step 5: Solve for x
    x = 309,499,712,650,814,160,896/8,084,510,856
  6. Step 6: Final answer
    x = 38,283,047,442.64

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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.