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Finding the Third Proportional to 4,855,176.75 and 7,249,514.25

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Solution

The third proportional to 4,855,176.75 and 7,249,514.25 is: 10,824,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855,176.75 : 7,249,514.25 = 7,249,514.25 : x
  2. Step 2: Convert to fraction form
    4,855,176.75/7,249,514.25 = 7,249,514.25/x
  3. Step 3: Cross multiply
    4,855,176.75x = 7,249,514.25 × 7,249,514.25
  4. Step 4: Simplify right side
    4,855,176.75x = 52,555,456,860,953.06
  5. Step 5: Solve for x
    x = 52,555,456,860,953.06/4,855,176.75
  6. Step 6: Final answer
    x = 10,824,622.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.