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Finding the Third Proportional to 908,872,224 and 1,381,633,833

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Solution

The third proportional to 908,872,224 and 1,381,633,833 is: 2,100,308,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,872,224 : 1,381,633,833 = 1,381,633,833 : x
  2. Step 2: Convert to fraction form
    908,872,224/1,381,633,833 = 1,381,633,833/x
  3. Step 3: Cross multiply
    908,872,224x = 1,381,633,833 × 1,381,633,833
  4. Step 4: Simplify right side
    908,872,224x = 1,908,912,048,490,272,000
  5. Step 5: Solve for x
    x = 1,908,912,048,490,272,000/908,872,224
  6. Step 6: Final answer
    x = 2,100,308,490.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.