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Finding the Third Proportional to 662,174,120 and 1,405,032,012

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Solution

The third proportional to 662,174,120 and 1,405,032,012 is: 2,981,262,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,174,120 : 1,405,032,012 = 1,405,032,012 : x
  2. Step 2: Convert to fraction form
    662,174,120/1,405,032,012 = 1,405,032,012/x
  3. Step 3: Cross multiply
    662,174,120x = 1,405,032,012 × 1,405,032,012
  4. Step 4: Simplify right side
    662,174,120x = 1,974,114,954,744,768,256
  5. Step 5: Solve for x
    x = 1,974,114,954,744,768,256/662,174,120
  6. Step 6: Final answer
    x = 2,981,262,624.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.