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Finding the Third Proportional to 500,135,231,184 and 674,799,855,889

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Solution

The third proportional to 500,135,231,184 and 674,799,855,889 is: 910,463,444,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,135,231,184 : 674,799,855,889 = 674,799,855,889 : x
  2. Step 2: Convert to fraction form
    500,135,231,184/674,799,855,889 = 674,799,855,889/x
  3. Step 3: Cross multiply
    500,135,231,184x = 674,799,855,889 × 674,799,855,889
  4. Step 4: Simplify right side
    500,135,231,184x = 455,354,845,507,815,158,579,200
  5. Step 5: Solve for x
    x = 455,354,845,507,815,158,579,200/500,135,231,184
  6. Step 6: Final answer
    x = 910,463,444,916.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.