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Finding the Third Proportional to 3,946,701,072 and 8,775,822,326

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Solution

The third proportional to 3,946,701,072 and 8,775,822,326 is: 19,513,780,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946,701,072 : 8,775,822,326 = 8,775,822,326 : x
  2. Step 2: Convert to fraction form
    3,946,701,072/8,775,822,326 = 8,775,822,326/x
  3. Step 3: Cross multiply
    3,946,701,072x = 8,775,822,326 × 8,775,822,326
  4. Step 4: Simplify right side
    3,946,701,072x = 77,015,057,497,520,046,080
  5. Step 5: Solve for x
    x = 77,015,057,497,520,046,080/3,946,701,072
  6. Step 6: Final answer
    x = 19,513,780,266.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.