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Finding the Third Proportional to 9,628,483,371 and 20,966,307,921

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Solution

The third proportional to 9,628,483,371 and 20,966,307,921 is: 45,654,756,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628,483,371 : 20,966,307,921 = 20,966,307,921 : x
  2. Step 2: Convert to fraction form
    9,628,483,371/20,966,307,921 = 20,966,307,921/x
  3. Step 3: Cross multiply
    9,628,483,371x = 20,966,307,921 × 20,966,307,921
  4. Step 4: Simplify right side
    9,628,483,371x = 439,586,067,838,187,339,776
  5. Step 5: Solve for x
    x = 439,586,067,838,187,339,776/9,628,483,371
  6. Step 6: Final answer
    x = 45,654,756,922.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.