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Finding the Third Proportional to 275,692,616,308 and 590,113,492,400

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Solution

The third proportional to 275,692,616,308 and 590,113,492,400 is: 1,263,123,904,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,692,616,308 : 590,113,492,400 = 590,113,492,400 : x
  2. Step 2: Convert to fraction form
    275,692,616,308/590,113,492,400 = 590,113,492,400/x
  3. Step 3: Cross multiply
    275,692,616,308x = 590,113,492,400 × 590,113,492,400
  4. Step 4: Simplify right side
    275,692,616,308x = 348,233,933,912,524,875,366,400
  5. Step 5: Solve for x
    x = 348,233,933,912,524,875,366,400/275,692,616,308
  6. Step 6: Final answer
    x = 1,263,123,904,353.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.