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Finding the Third Proportional to 5,196,670,742 and 10,668,832,781

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Solution

The third proportional to 5,196,670,742 and 10,668,832,781 is: 21,903,252,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,670,742 : 10,668,832,781 = 10,668,832,781 : x
  2. Step 2: Convert to fraction form
    5,196,670,742/10,668,832,781 = 10,668,832,781/x
  3. Step 3: Cross multiply
    5,196,670,742x = 10,668,832,781 × 10,668,832,781
  4. Step 4: Simplify right side
    5,196,670,742x = 113,823,992,908,940,197,888
  5. Step 5: Solve for x
    x = 113,823,992,908,940,197,888/5,196,670,742
  6. Step 6: Final answer
    x = 21,903,252,786.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.