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Finding the Third Proportional to 1,243,410,813 and 2,696,616,597

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Solution

The third proportional to 1,243,410,813 and 2,696,616,597 is: 5,848,220,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,410,813 : 2,696,616,597 = 2,696,616,597 : x
  2. Step 2: Convert to fraction form
    1,243,410,813/2,696,616,597 = 2,696,616,597/x
  3. Step 3: Cross multiply
    1,243,410,813x = 2,696,616,597 × 2,696,616,597
  4. Step 4: Simplify right side
    1,243,410,813x = 7,271,741,071,215,860,736
  5. Step 5: Solve for x
    x = 7,271,741,071,215,860,736/1,243,410,813
  6. Step 6: Final answer
    x = 5,848,220,873.74

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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.