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Finding the Third Proportional to 298,263,326,292 and 654,271,968,600

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Solution

The third proportional to 298,263,326,292 and 654,271,968,600 is: 1,435,214,359,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263,326,292 : 654,271,968,600 = 654,271,968,600 : x
  2. Step 2: Convert to fraction form
    298,263,326,292/654,271,968,600 = 654,271,968,600/x
  3. Step 3: Cross multiply
    298,263,326,292x = 654,271,968,600 × 654,271,968,600
  4. Step 4: Simplify right side
    298,263,326,292x = 428,071,808,895,719,409,975,296
  5. Step 5: Solve for x
    x = 428,071,808,895,719,409,975,296/298,263,326,292
  6. Step 6: Final answer
    x = 1,435,214,359,799.09

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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.