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Finding the Third Proportional to 605,718,036,120 and 1,308,148,581,936

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Solution

The third proportional to 605,718,036,120 and 1,308,148,581,936 is: 2,825,163,872,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,718,036,120 : 1,308,148,581,936 = 1,308,148,581,936 : x
  2. Step 2: Convert to fraction form
    605,718,036,120/1,308,148,581,936 = 1,308,148,581,936/x
  3. Step 3: Cross multiply
    605,718,036,120x = 1,308,148,581,936 × 1,308,148,581,936
  4. Step 4: Simplify right side
    605,718,036,120x = 1,711,252,712,421,167,749,660,672
  5. Step 5: Solve for x
    x = 1,711,252,712,421,167,749,660,672/605,718,036,120
  6. Step 6: Final answer
    x = 2,825,163,872,257.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.