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Finding the Third Proportional to 1,586,599,358,409 and 3,399,547,950,738

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Solution

The third proportional to 1,586,599,358,409 and 3,399,547,950,738 is: 7,284,086,059,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,599,358,409 : 3,399,547,950,738 = 3,399,547,950,738 : x
  2. Step 2: Convert to fraction form
    1,586,599,358,409/3,399,547,950,738 = 3,399,547,950,738/x
  3. Step 3: Cross multiply
    1,586,599,358,409x = 3,399,547,950,738 × 3,399,547,950,738
  4. Step 4: Simplify right side
    1,586,599,358,409x = 11,556,926,269,366,935,987,683,328
  5. Step 5: Solve for x
    x = 11,556,926,269,366,935,987,683,328/1,586,599,358,409
  6. Step 6: Final answer
    x = 7,284,086,059,984.24

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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.