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Finding the Third Proportional to 1,586,599,358,412 and 3,399,547,950,741

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Solution

The third proportional to 1,586,599,358,412 and 3,399,547,950,741 is: 7,284,086,059,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,599,358,412 : 3,399,547,950,741 = 3,399,547,950,741 : x
  2. Step 2: Convert to fraction form
    1,586,599,358,412/3,399,547,950,741 = 3,399,547,950,741/x
  3. Step 3: Cross multiply
    1,586,599,358,412x = 3,399,547,950,741 × 3,399,547,950,741
  4. Step 4: Simplify right side
    1,586,599,358,412x = 11,556,926,269,387,332,787,372,032
  5. Step 5: Solve for x
    x = 11,556,926,269,387,332,787,372,032/1,586,599,358,412
  6. Step 6: Final answer
    x = 7,284,086,059,983.32

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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.