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Finding the Third Proportional to 241,301,557,440 and 507,609,237,888

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Solution

The third proportional to 241,301,557,440 and 507,609,237,888 is: 1,067,822,110,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,301,557,440 : 507,609,237,888 = 507,609,237,888 : x
  2. Step 2: Convert to fraction form
    241,301,557,440/507,609,237,888 = 507,609,237,888/x
  3. Step 3: Cross multiply
    241,301,557,440x = 507,609,237,888 × 507,609,237,888
  4. Step 4: Simplify right side
    241,301,557,440x = 257,667,138,389,236,189,757,440
  5. Step 5: Solve for x
    x = 257,667,138,389,236,189,757,440/241,301,557,440
  6. Step 6: Final answer
    x = 1,067,822,110,735.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.