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Finding the Third Proportional to 805,430,939,002 and 1,744,921,191,342

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Solution

The third proportional to 805,430,939,002 and 1,744,921,191,342 is: 3,780,274,405,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,430,939,002 : 1,744,921,191,342 = 1,744,921,191,342 : x
  2. Step 2: Convert to fraction form
    805,430,939,002/1,744,921,191,342 = 1,744,921,191,342/x
  3. Step 3: Cross multiply
    805,430,939,002x = 1,744,921,191,342 × 1,744,921,191,342
  4. Step 4: Simplify right side
    805,430,939,002x = 3,044,749,963,994,384,841,048,064
  5. Step 5: Solve for x
    x = 3,044,749,963,994,384,841,048,064/805,430,939,002
  6. Step 6: Final answer
    x = 3,780,274,405,360.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.