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Finding the Third Proportional to 952,658,152 and 2,043,156,434

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Solution

The third proportional to 952,658,152 and 2,043,156,434 is: 4,381,937,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,658,152 : 2,043,156,434 = 2,043,156,434 : x
  2. Step 2: Convert to fraction form
    952,658,152/2,043,156,434 = 2,043,156,434/x
  3. Step 3: Cross multiply
    952,658,152x = 2,043,156,434 × 2,043,156,434
  4. Step 4: Simplify right side
    952,658,152x = 4,174,488,213,795,596,288
  5. Step 5: Solve for x
    x = 4,174,488,213,795,596,288/952,658,152
  6. Step 6: Final answer
    x = 4,381,937,219.59

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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.