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Finding the Third Proportional to 4,828,177.50 and 6,767,668.50

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Solution

The third proportional to 4,828,177.50 and 6,767,668.50 is: 9,486,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828,177.50 : 6,767,668.50 = 6,767,668.50 : x
  2. Step 2: Convert to fraction form
    4,828,177.50/6,767,668.50 = 6,767,668.50/x
  3. Step 3: Cross multiply
    4,828,177.50x = 6,767,668.50 × 6,767,668.50
  4. Step 4: Simplify right side
    4,828,177.50x = 45,801,336,925,892.25
  5. Step 5: Solve for x
    x = 45,801,336,925,892.25/4,828,177.50
  6. Step 6: Final answer
    x = 9,486,257.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.