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Finding the Third Proportional to 299,298,277,055.25 and 619,811,863,147.12

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Solution

The third proportional to 299,298,277,055.25 and 619,811,863,147.12 is: 1,283,558,159,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298,277,055.25 : 619,811,863,147.12 = 619,811,863,147.12 : x
  2. Step 2: Convert to fraction form
    299,298,277,055.25/619,811,863,147.12 = 619,811,863,147.12/x
  3. Step 3: Cross multiply
    299,298,277,055.25x = 619,811,863,147.12 × 619,811,863,147.12
  4. Step 4: Simplify right side
    299,298,277,055.25x = 384,166,745,697,904,192,651,264
  5. Step 5: Solve for x
    x = 384,166,745,697,904,192,651,264/299,298,277,055.25
  6. Step 6: Final answer
    x = 1,283,558,159,698.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.