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Finding the Third Proportional to 344,075,991,560 and 539,753,701,726

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Solution

The third proportional to 344,075,991,560 and 539,753,701,726 is: 846,714,288,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,075,991,560 : 539,753,701,726 = 539,753,701,726 : x
  2. Step 2: Convert to fraction form
    344,075,991,560/539,753,701,726 = 539,753,701,726/x
  3. Step 3: Cross multiply
    344,075,991,560x = 539,753,701,726 × 539,753,701,726
  4. Step 4: Simplify right side
    344,075,991,560x = 291,334,058,526,919,786,233,856
  5. Step 5: Solve for x
    x = 291,334,058,526,919,786,233,856/344,075,991,560
  6. Step 6: Final answer
    x = 846,714,288,916.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.