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Finding the Third Proportional to 309,139,229 and 666,704,653

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Solution

The third proportional to 309,139,229 and 666,704,653 is: 1,437,847,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,229 : 666,704,653 = 666,704,653 : x
  2. Step 2: Convert to fraction form
    309,139,229/666,704,653 = 666,704,653/x
  3. Step 3: Cross multiply
    309,139,229x = 666,704,653 × 666,704,653
  4. Step 4: Simplify right side
    309,139,229x = 444,495,094,331,850,432
  5. Step 5: Solve for x
    x = 444,495,094,331,850,432/309,139,229
  6. Step 6: Final answer
    x = 1,437,847,586.57

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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.