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Finding the Third Proportional to 7,788,361,680 and 16,757,674,038

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Solution

The third proportional to 7,788,361,680 and 16,757,674,038 is: 36,056,317,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,361,680 : 16,757,674,038 = 16,757,674,038 : x
  2. Step 2: Convert to fraction form
    7,788,361,680/16,757,674,038 = 16,757,674,038/x
  3. Step 3: Cross multiply
    7,788,361,680x = 16,757,674,038 × 16,757,674,038
  4. Step 4: Simplify right side
    7,788,361,680x = 280,819,639,163,859,238,912
  5. Step 5: Solve for x
    x = 280,819,639,163,859,238,912/7,788,361,680
  6. Step 6: Final answer
    x = 36,056,317,195.05

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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.