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Finding the Third Proportional to 1,849,725,252 and 2,672,533,546

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Solution

The third proportional to 1,849,725,252 and 2,672,533,546 is: 3,861,349,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,725,252 : 2,672,533,546 = 2,672,533,546 : x
  2. Step 2: Convert to fraction form
    1,849,725,252/2,672,533,546 = 2,672,533,546/x
  3. Step 3: Cross multiply
    1,849,725,252x = 2,672,533,546 × 2,672,533,546
  4. Step 4: Simplify right side
    1,849,725,252x = 7,142,435,554,495,334,400
  5. Step 5: Solve for x
    x = 7,142,435,554,495,334,400/1,849,725,252
  6. Step 6: Final answer
    x = 3,861,349,433.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.