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Finding the Third Proportional to 448,718,568 and 671,284,116

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Solution

The third proportional to 448,718,568 and 671,284,116 is: 1,004,242,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,718,568 : 671,284,116 = 671,284,116 : x
  2. Step 2: Convert to fraction form
    448,718,568/671,284,116 = 671,284,116/x
  3. Step 3: Cross multiply
    448,718,568x = 671,284,116 × 671,284,116
  4. Step 4: Simplify right side
    448,718,568x = 450,622,364,393,901,440
  5. Step 5: Solve for x
    x = 450,622,364,393,901,440/448,718,568
  6. Step 6: Final answer
    x = 1,004,242,740.39

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