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Finding the Third Proportional to 427,085,541 and 665,598,033

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Solution

The third proportional to 427,085,541 and 665,598,033 is: 1,037,311,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,085,541 : 665,598,033 = 665,598,033 : x
  2. Step 2: Convert to fraction form
    427,085,541/665,598,033 = 665,598,033/x
  3. Step 3: Cross multiply
    427,085,541x = 665,598,033 × 665,598,033
  4. Step 4: Simplify right side
    427,085,541x = 443,020,741,533,469,120
  5. Step 5: Solve for x
    x = 443,020,741,533,469,120/427,085,541
  6. Step 6: Final answer
    x = 1,037,311,496.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.