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Finding the Third Proportional to 215,536,479.75 and 471,877,633.13

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Solution

The third proportional to 215,536,479.75 and 471,877,633.13 is: 1,033,089,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,536,479.75 : 471,877,633.13 = 471,877,633.13 : x
  2. Step 2: Convert to fraction form
    215,536,479.75/471,877,633.13 = 471,877,633.13/x
  3. Step 3: Cross multiply
    215,536,479.75x = 471,877,633.13 × 471,877,633.13
  4. Step 4: Simplify right side
    215,536,479.75x = 222,668,500,643,652,096
  5. Step 5: Solve for x
    x = 222,668,500,643,652,096/215,536,479.75
  6. Step 6: Final answer
    x = 1,033,089,623.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.