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Finding the Third Proportional to 298,263,326,285 and 654,271,968,559

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Solution

The third proportional to 298,263,326,285 and 654,271,968,559 is: 1,435,214,359,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263,326,285 : 654,271,968,559 = 654,271,968,559 : x
  2. Step 2: Convert to fraction form
    298,263,326,285/654,271,968,559 = 654,271,968,559/x
  3. Step 3: Cross multiply
    298,263,326,285x = 654,271,968,559 × 654,271,968,559
  4. Step 4: Simplify right side
    298,263,326,285x = 428,071,808,842,069,094,432,768
  5. Step 5: Solve for x
    x = 428,071,808,842,069,094,432,768/298,263,326,285
  6. Step 6: Final answer
    x = 1,435,214,359,652.90

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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.