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Finding the Third Proportional to 430,238,525 and 950,914,376

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Solution

The third proportional to 430,238,525 and 950,914,376 is: 2,101,713,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,238,525 : 950,914,376 = 950,914,376 : x
  2. Step 2: Convert to fraction form
    430,238,525/950,914,376 = 950,914,376/x
  3. Step 3: Cross multiply
    430,238,525x = 950,914,376 × 950,914,376
  4. Step 4: Simplify right side
    430,238,525x = 904,238,150,483,469,312
  5. Step 5: Solve for x
    x = 904,238,150,483,469,312/430,238,525
  6. Step 6: Final answer
    x = 2,101,713,579.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.