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Finding the Third Proportional to 11,686,389,326 and 23,697,966,142

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Solution

The third proportional to 11,686,389,326 and 23,697,966,142 is: 48,055,355,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686,389,326 : 23,697,966,142 = 23,697,966,142 : x
  2. Step 2: Convert to fraction form
    11,686,389,326/23,697,966,142 = 23,697,966,142/x
  3. Step 3: Cross multiply
    11,686,389,326x = 23,697,966,142 × 23,697,966,142
  4. Step 4: Simplify right side
    11,686,389,326x = 561,593,599,267,378,364,416
  5. Step 5: Solve for x
    x = 561,593,599,267,378,364,416/11,686,389,326
  6. Step 6: Final answer
    x = 48,055,355,987.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.