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Finding the Third Proportional to 427,082,706 and 665,593,443

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Solution

The third proportional to 427,082,706 and 665,593,443 is: 1,037,304,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,082,706 : 665,593,443 = 665,593,443 : x
  2. Step 2: Convert to fraction form
    427,082,706/665,593,443 = 665,593,443/x
  3. Step 3: Cross multiply
    427,082,706x = 665,593,443 × 665,593,443
  4. Step 4: Simplify right side
    427,082,706x = 443,014,631,364,594,240
  5. Step 5: Solve for x
    x = 443,014,631,364,594,240/427,082,706
  6. Step 6: Final answer
    x = 1,037,304,075.16

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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.