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Finding the Third Proportional to 1,309,445,264 and 2,836,840,144

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Solution

The third proportional to 1,309,445,264 and 2,836,840,144 is: 6,145,855,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,445,264 : 2,836,840,144 = 2,836,840,144 : x
  2. Step 2: Convert to fraction form
    1,309,445,264/2,836,840,144 = 2,836,840,144/x
  3. Step 3: Cross multiply
    1,309,445,264x = 2,836,840,144 × 2,836,840,144
  4. Step 4: Simplify right side
    1,309,445,264x = 8,047,662,002,609,940,480
  5. Step 5: Solve for x
    x = 8,047,662,002,609,940,480/1,309,445,264
  6. Step 6: Final answer
    x = 6,145,855,977.23

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