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Finding the Third Proportional to 683,257,172,628 and 1,469,342,200,044

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Solution

The third proportional to 683,257,172,628 and 1,469,342,200,044 is: 3,159,815,348,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,257,172,628 : 1,469,342,200,044 = 1,469,342,200,044 : x
  2. Step 2: Convert to fraction form
    683,257,172,628/1,469,342,200,044 = 1,469,342,200,044/x
  3. Step 3: Cross multiply
    683,257,172,628x = 1,469,342,200,044 × 1,469,342,200,044
  4. Step 4: Simplify right side
    683,257,172,628x = 2,158,966,500,830,142,019,928,064
  5. Step 5: Solve for x
    x = 2,158,966,500,830,142,019,928,064/683,257,172,628
  6. Step 6: Final answer
    x = 3,159,815,348,188.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.