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Finding the Third Proportional to 309,977,283 and 669,265,314

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Solution

The third proportional to 309,977,283 and 669,265,314 is: 1,444,996,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,977,283 : 669,265,314 = 669,265,314 : x
  2. Step 2: Convert to fraction form
    309,977,283/669,265,314 = 669,265,314/x
  3. Step 3: Cross multiply
    309,977,283x = 669,265,314 × 669,265,314
  4. Step 4: Simplify right side
    309,977,283x = 447,916,060,523,518,592
  5. Step 5: Solve for x
    x = 447,916,060,523,518,592/309,977,283
  6. Step 6: Final answer
    x = 1,444,996,408.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.