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Finding the Third Proportional to 298,263,326,344 and 654,271,968,696

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Solution

The third proportional to 298,263,326,344 and 654,271,968,696 is: 1,435,214,359,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263,326,344 : 654,271,968,696 = 654,271,968,696 : x
  2. Step 2: Convert to fraction form
    298,263,326,344/654,271,968,696 = 654,271,968,696/x
  3. Step 3: Cross multiply
    298,263,326,344x = 654,271,968,696 × 654,271,968,696
  4. Step 4: Simplify right side
    298,263,326,344x = 428,071,809,021,339,620,081,664
  5. Step 5: Solve for x
    x = 428,071,809,021,339,620,081,664/298,263,326,344
  6. Step 6: Final answer
    x = 1,435,214,359,970.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.