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Finding the Third Proportional to 377,885,403,733.50 and 832,795,889,706

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Solution

The third proportional to 377,885,403,733.50 and 832,795,889,706 is: 1,835,342,109,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,885,403,733.50 : 832,795,889,706 = 832,795,889,706 : x
  2. Step 2: Convert to fraction form
    377,885,403,733.50/832,795,889,706 = 832,795,889,706/x
  3. Step 3: Cross multiply
    377,885,403,733.50x = 832,795,889,706 × 832,795,889,706
  4. Step 4: Simplify right side
    377,885,403,733.50x = 693,548,993,911,208,061,960,192
  5. Step 5: Solve for x
    x = 693,548,993,911,208,061,960,192/377,885,403,733.50
  6. Step 6: Final answer
    x = 1,835,342,109,165.79

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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.