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Finding the Third Proportional to 1,145,980,874 and 2,455,330,122

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Solution

The third proportional to 1,145,980,874 and 2,455,330,122 is: 5,260,686,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,980,874 : 2,455,330,122 = 2,455,330,122 : x
  2. Step 2: Convert to fraction form
    1,145,980,874/2,455,330,122 = 2,455,330,122/x
  3. Step 3: Cross multiply
    1,145,980,874x = 2,455,330,122 × 2,455,330,122
  4. Step 4: Simplify right side
    1,145,980,874x = 6,028,646,008,000,534,528
  5. Step 5: Solve for x
    x = 6,028,646,008,000,534,528/1,145,980,874
  6. Step 6: Final answer
    x = 5,260,686,408.28

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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.