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Finding the Third Proportional to 1,952,802,196 and 2,947,363,047

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Solution

The third proportional to 1,952,802,196 and 2,947,363,047 is: 4,448,453,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,802,196 : 2,947,363,047 = 2,947,363,047 : x
  2. Step 2: Convert to fraction form
    1,952,802,196/2,947,363,047 = 2,947,363,047/x
  3. Step 3: Cross multiply
    1,952,802,196x = 2,947,363,047 × 2,947,363,047
  4. Step 4: Simplify right side
    1,952,802,196x = 8,686,948,930,821,124,096
  5. Step 5: Solve for x
    x = 8,686,948,930,821,124,096/1,952,802,196
  6. Step 6: Final answer
    x = 4,448,453,073.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.