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Finding the Third Proportional to 335,082,435,322.50 and 470,186,989,587

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Solution

The third proportional to 335,082,435,322.50 and 470,186,989,587 is: 659,765,424,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,082,435,322.50 : 470,186,989,587 = 470,186,989,587 : x
  2. Step 2: Convert to fraction form
    335,082,435,322.50/470,186,989,587 = 470,186,989,587/x
  3. Step 3: Cross multiply
    335,082,435,322.50x = 470,186,989,587 × 470,186,989,587
  4. Step 4: Simplify right side
    335,082,435,322.50x = 221,075,805,176,885,634,138,112
  5. Step 5: Solve for x
    x = 221,075,805,176,885,634,138,112/335,082,435,322.50
  6. Step 6: Final answer
    x = 659,765,424,481.62

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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.