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Finding the Third Proportional to 254,797,564,795 and 381,823,629,832.50

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Solution

The third proportional to 254,797,564,795 and 381,823,629,832.50 is: 572,176,913,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,797,564,795 : 381,823,629,832.50 = 381,823,629,832.50 : x
  2. Step 2: Convert to fraction form
    254,797,564,795/381,823,629,832.50 = 381,823,629,832.50/x
  3. Step 3: Cross multiply
    254,797,564,795x = 381,823,629,832.50 × 381,823,629,832.50
  4. Step 4: Simplify right side
    254,797,564,795x = 145,789,284,298,465,984,118,784
  5. Step 5: Solve for x
    x = 145,789,284,298,465,984,118,784/254,797,564,795
  6. Step 6: Final answer
    x = 572,176,913,918.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.