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Finding the Third Proportional to 9,178,155 and 14,325,828.75

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Solution

The third proportional to 9,178,155 and 14,325,828.75 is: 22,360,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178,155 : 14,325,828.75 = 14,325,828.75 : x
  2. Step 2: Convert to fraction form
    9,178,155/14,325,828.75 = 14,325,828.75/x
  3. Step 3: Cross multiply
    9,178,155x = 14,325,828.75 × 14,325,828.75
  4. Step 4: Simplify right side
    9,178,155x = 205,229,369,374,326.56
  5. Step 5: Solve for x
    x = 205,229,369,374,326.56/9,178,155
  6. Step 6: Final answer
    x = 22,360,634.50

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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.