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Finding the Third Proportional to 299,298,277,027.50 and 619,811,863,090.50

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Solution

The third proportional to 299,298,277,027.50 and 619,811,863,090.50 is: 1,283,558,159,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298,277,027.50 : 619,811,863,090.50 = 619,811,863,090.50 : x
  2. Step 2: Convert to fraction form
    299,298,277,027.50/619,811,863,090.50 = 619,811,863,090.50/x
  3. Step 3: Cross multiply
    299,298,277,027.50x = 619,811,863,090.50 × 619,811,863,090.50
  4. Step 4: Simplify right side
    299,298,277,027.50x = 384,166,745,627,716,709,515,264
  5. Step 5: Solve for x
    x = 384,166,745,627,716,709,515,264/299,298,277,027.50
  6. Step 6: Final answer
    x = 1,283,558,159,582.79

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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.