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Finding the Third Proportional to 382,103,640 and 818,729,208

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Solution

The third proportional to 382,103,640 and 818,729,208 is: 1,754,281,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,103,640 : 818,729,208 = 818,729,208 : x
  2. Step 2: Convert to fraction form
    382,103,640/818,729,208 = 818,729,208/x
  3. Step 3: Cross multiply
    382,103,640x = 818,729,208 × 818,729,208
  4. Step 4: Simplify right side
    382,103,640x = 670,317,516,032,307,200
  5. Step 5: Solve for x
    x = 670,317,516,032,307,200/382,103,640
  6. Step 6: Final answer
    x = 1,754,281,943.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.