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Finding the Third Proportional to 31,197,926.50 and 48,685,556

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Solution

The third proportional to 31,197,926.50 and 48,685,556 is: 75,975,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,926.50 : 48,685,556 = 48,685,556 : x
  2. Step 2: Convert to fraction form
    31,197,926.50/48,685,556 = 48,685,556/x
  3. Step 3: Cross multiply
    31,197,926.50x = 48,685,556 × 48,685,556
  4. Step 4: Simplify right side
    31,197,926.50x = 2,370,283,363,029,136
  5. Step 5: Solve for x
    x = 2,370,283,363,029,136/31,197,926.50
  6. Step 6: Final answer
    x = 75,975,669.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.