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Finding the Third Proportional to 1,309,444,196 and 2,836,837,790

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Solution

The third proportional to 1,309,444,196 and 2,836,837,790 is: 6,145,850,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,444,196 : 2,836,837,790 = 2,836,837,790 : x
  2. Step 2: Convert to fraction form
    1,309,444,196/2,836,837,790 = 2,836,837,790/x
  3. Step 3: Cross multiply
    1,309,444,196x = 2,836,837,790 × 2,836,837,790
  4. Step 4: Simplify right side
    1,309,444,196x = 8,047,648,646,772,083,712
  5. Step 5: Solve for x
    x = 8,047,648,646,772,083,712/1,309,444,196
  6. Step 6: Final answer
    x = 6,145,850,790.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.