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Finding the Third Proportional to 678,879,389 and 1,465,936,546

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Solution

The third proportional to 678,879,389 and 1,465,936,546 is: 3,165,466,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,879,389 : 1,465,936,546 = 1,465,936,546 : x
  2. Step 2: Convert to fraction form
    678,879,389/1,465,936,546 = 1,465,936,546/x
  3. Step 3: Cross multiply
    678,879,389x = 1,465,936,546 × 1,465,936,546
  4. Step 4: Simplify right side
    678,879,389x = 2,148,969,956,898,410,240
  5. Step 5: Solve for x
    x = 2,148,969,956,898,410,240/678,879,389
  6. Step 6: Final answer
    x = 3,165,466,490.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.