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Finding the Third Proportional to 337,956,767,428.22 and 724,973,481,709.60

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Solution

The third proportional to 337,956,767,428.22 and 724,973,481,709.60 is: 1,555,188,710,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,956,767,428.22 : 724,973,481,709.60 = 724,973,481,709.60 : x
  2. Step 2: Convert to fraction form
    337,956,767,428.22/724,973,481,709.60 = 724,973,481,709.60/x
  3. Step 3: Cross multiply
    337,956,767,428.22x = 724,973,481,709.60 × 724,973,481,709.60
  4. Step 4: Simplify right side
    337,956,767,428.22x = 525,586,549,182,139,719,483,392
  5. Step 5: Solve for x
    x = 525,586,549,182,139,719,483,392/337,956,767,428.22
  6. Step 6: Final answer
    x = 1,555,188,710,028.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.