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Finding the Third Proportional to 5,701,974.50 and 12,407,782.50

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Solution

The third proportional to 5,701,974.50 and 12,407,782.50 is: 26,999,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701,974.50 : 12,407,782.50 = 12,407,782.50 : x
  2. Step 2: Convert to fraction form
    5,701,974.50/12,407,782.50 = 12,407,782.50/x
  3. Step 3: Cross multiply
    5,701,974.50x = 12,407,782.50 × 12,407,782.50
  4. Step 4: Simplify right side
    5,701,974.50x = 153,953,066,567,306.25
  5. Step 5: Solve for x
    x = 153,953,066,567,306.25/5,701,974.50
  6. Step 6: Final answer
    x = 26,999,957.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.