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Finding the Third Proportional to 691,385,992.65 and 1,520,677,032.42

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Solution

The third proportional to 691,385,992.65 and 1,520,677,032.42 is: 3,344,670,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,385,992.65 : 1,520,677,032.42 = 1,520,677,032.42 : x
  2. Step 2: Convert to fraction form
    691,385,992.65/1,520,677,032.42 = 1,520,677,032.42/x
  3. Step 3: Cross multiply
    691,385,992.65x = 1,520,677,032.42 × 1,520,677,032.42
  4. Step 4: Simplify right side
    691,385,992.65x = 2,312,458,636,924,527,104
  5. Step 5: Solve for x
    x = 2,312,458,636,924,527,104/691,385,992.65
  6. Step 6: Final answer
    x = 3,344,670,938.51

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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.