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Finding the Third Proportional to 3,103,309,700 and 4,650,425,036

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Solution

The third proportional to 3,103,309,700 and 4,650,425,036 is: 6,968,834,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103,309,700 : 4,650,425,036 = 4,650,425,036 : x
  2. Step 2: Convert to fraction form
    3,103,309,700/4,650,425,036 = 4,650,425,036/x
  3. Step 3: Cross multiply
    3,103,309,700x = 4,650,425,036 × 4,650,425,036
  4. Step 4: Simplify right side
    3,103,309,700x = 21,626,453,015,455,600,640
  5. Step 5: Solve for x
    x = 21,626,453,015,455,600,640/3,103,309,700
  6. Step 6: Final answer
    x = 6,968,834,923.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.