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Finding the Third Proportional to 55,512,862 and 120,292,722

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Solution

The third proportional to 55,512,862 and 120,292,722 is: 260,666,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,512,862 : 120,292,722 = 120,292,722 : x
  2. Step 2: Convert to fraction form
    55,512,862/120,292,722 = 120,292,722/x
  3. Step 3: Cross multiply
    55,512,862x = 120,292,722 × 120,292,722
  4. Step 4: Simplify right side
    55,512,862x = 14,470,338,966,169,284
  5. Step 5: Solve for x
    x = 14,470,338,966,169,284/55,512,862
  6. Step 6: Final answer
    x = 260,666,419.36

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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.