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Finding the Third Proportional to 570,293,478,954 and 1,208,579,253,723

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Solution

The third proportional to 570,293,478,954 and 1,208,579,253,723 is: 2,561,249,367,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,293,478,954 : 1,208,579,253,723 = 1,208,579,253,723 : x
  2. Step 2: Convert to fraction form
    570,293,478,954/1,208,579,253,723 = 1,208,579,253,723/x
  3. Step 3: Cross multiply
    570,293,478,954x = 1,208,579,253,723 × 1,208,579,253,723
  4. Step 4: Simplify right side
    570,293,478,954x = 1,460,663,812,529,643,520,524,288
  5. Step 5: Solve for x
    x = 1,460,663,812,529,643,520,524,288/570,293,478,954
  6. Step 6: Final answer
    x = 2,561,249,367,972.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.