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Finding the Third Proportional to 377,885,405,745 and 832,795,893,954

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Solution

The third proportional to 377,885,405,745 and 832,795,893,954 is: 1,835,342,118,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,885,405,745 : 832,795,893,954 = 832,795,893,954 : x
  2. Step 2: Convert to fraction form
    377,885,405,745/832,795,893,954 = 832,795,893,954/x
  3. Step 3: Cross multiply
    377,885,405,745x = 832,795,893,954 × 832,795,893,954
  4. Step 4: Simplify right side
    377,885,405,745x = 693,549,000,986,642,025,021,440
  5. Step 5: Solve for x
    x = 693,549,000,986,642,025,021,440/377,885,405,745
  6. Step 6: Final answer
    x = 1,835,342,118,119.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.