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Finding the Third Proportional to 4,575,374.86 and 9,964,518.75

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Solution

The third proportional to 4,575,374.86 and 9,964,518.75 is: 21,701,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575,374.86 : 9,964,518.75 = 9,964,518.75 : x
  2. Step 2: Convert to fraction form
    4,575,374.86/9,964,518.75 = 9,964,518.75/x
  3. Step 3: Cross multiply
    4,575,374.86x = 9,964,518.75 × 9,964,518.75
  4. Step 4: Simplify right side
    4,575,374.86x = 99,291,633,919,101.56
  5. Step 5: Solve for x
    x = 99,291,633,919,101.56/4,575,374.86
  6. Step 6: Final answer
    x = 21,701,311.25

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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.