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Finding the Third Proportional to 746,372,887 and 1,619,614,130

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Solution

The third proportional to 746,372,887 and 1,619,614,130 is: 3,514,530,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,372,887 : 1,619,614,130 = 1,619,614,130 : x
  2. Step 2: Convert to fraction form
    746,372,887/1,619,614,130 = 1,619,614,130/x
  3. Step 3: Cross multiply
    746,372,887x = 1,619,614,130 × 1,619,614,130
  4. Step 4: Simplify right side
    746,372,887x = 2,623,149,930,095,656,960
  5. Step 5: Solve for x
    x = 2,623,149,930,095,656,960/746,372,887
  6. Step 6: Final answer
    x = 3,514,530,036.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.