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Finding the Third Proportional to 1,189,010,970 and 2,486,435,904

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Solution

The third proportional to 1,189,010,970 and 2,486,435,904 is: 5,199,584,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,010,970 : 2,486,435,904 = 2,486,435,904 : x
  2. Step 2: Convert to fraction form
    1,189,010,970/2,486,435,904 = 2,486,435,904/x
  3. Step 3: Cross multiply
    1,189,010,970x = 2,486,435,904 × 2,486,435,904
  4. Step 4: Simplify right side
    1,189,010,970x = 6,182,363,504,700,297,216
  5. Step 5: Solve for x
    x = 6,182,363,504,700,297,216/1,189,010,970
  6. Step 6: Final answer
    x = 5,199,584,916.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.