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Finding the Third Proportional to 335,082,435,315 and 470,186,989,576.50

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Solution

The third proportional to 335,082,435,315 and 470,186,989,576.50 is: 659,765,424,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,082,435,315 : 470,186,989,576.50 = 470,186,989,576.50 : x
  2. Step 2: Convert to fraction form
    335,082,435,315/470,186,989,576.50 = 470,186,989,576.50/x
  3. Step 3: Cross multiply
    335,082,435,315x = 470,186,989,576.50 × 470,186,989,576.50
  4. Step 4: Simplify right side
    335,082,435,315x = 221,075,805,167,011,705,651,200
  5. Step 5: Solve for x
    x = 221,075,805,167,011,705,651,200/335,082,435,315
  6. Step 6: Final answer
    x = 659,765,424,466.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.