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Finding the Third Proportional to 50,100,788.25 and 77,575,482

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Solution

The third proportional to 50,100,788.25 and 77,575,482 is: 120,116,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100,788.25 : 77,575,482 = 77,575,482 : x
  2. Step 2: Convert to fraction form
    50,100,788.25/77,575,482 = 77,575,482/x
  3. Step 3: Cross multiply
    50,100,788.25x = 77,575,482 × 77,575,482
  4. Step 4: Simplify right side
    50,100,788.25x = 6,017,955,407,532,324
  5. Step 5: Solve for x
    x = 6,017,955,407,532,324/50,100,788.25
  6. Step 6: Final answer
    x = 120,116,980.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.