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Finding the Third Proportional to 3,610,685,302 and 7,862,373,656

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Solution

The third proportional to 3,610,685,302 and 7,862,373,656 is: 17,120,550,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610,685,302 : 7,862,373,656 = 7,862,373,656 : x
  2. Step 2: Convert to fraction form
    3,610,685,302/7,862,373,656 = 7,862,373,656/x
  3. Step 3: Cross multiply
    3,610,685,302x = 7,862,373,656 × 7,862,373,656
  4. Step 4: Simplify right side
    3,610,685,302x = 61,816,919,506,562,809,856
  5. Step 5: Solve for x
    x = 61,816,919,506,562,809,856/3,610,685,302
  6. Step 6: Final answer
    x = 17,120,550,348.80

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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.