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Finding the Third Proportional to 452,810,715 and 978,324,918

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Solution

The third proportional to 452,810,715 and 978,324,918 is: 2,113,730,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,810,715 : 978,324,918 = 978,324,918 : x
  2. Step 2: Convert to fraction form
    452,810,715/978,324,918 = 978,324,918/x
  3. Step 3: Cross multiply
    452,810,715x = 978,324,918 × 978,324,918
  4. Step 4: Simplify right side
    452,810,715x = 957,119,645,179,706,752
  5. Step 5: Solve for x
    x = 957,119,645,179,706,752/452,810,715
  6. Step 6: Final answer
    x = 2,113,730,116.08

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Why These Related Problems?

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