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Finding the Third Proportional to 471,389,732 and 1,111,196,466

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Solution

The third proportional to 471,389,732 and 1,111,196,466 is: 2,619,398,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,389,732 : 1,111,196,466 = 1,111,196,466 : x
  2. Step 2: Convert to fraction form
    471,389,732/1,111,196,466 = 1,111,196,466/x
  3. Step 3: Cross multiply
    471,389,732x = 1,111,196,466 × 1,111,196,466
  4. Step 4: Simplify right side
    471,389,732x = 1,234,757,586,050,889,216
  5. Step 5: Solve for x
    x = 1,234,757,586,050,889,216/471,389,732
  6. Step 6: Final answer
    x = 2,619,398,561.81

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.