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Finding the Third Proportional to 504,211,536 and 1,096,766,208

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Solution

The third proportional to 504,211,536 and 1,096,766,208 is: 2,385,697,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,211,536 : 1,096,766,208 = 1,096,766,208 : x
  2. Step 2: Convert to fraction form
    504,211,536/1,096,766,208 = 1,096,766,208/x
  3. Step 3: Cross multiply
    504,211,536x = 1,096,766,208 × 1,096,766,208
  4. Step 4: Simplify right side
    504,211,536x = 1,202,896,115,010,699,264
  5. Step 5: Solve for x
    x = 1,202,896,115,010,699,264/504,211,536
  6. Step 6: Final answer
    x = 2,385,697,329.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.