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Finding the Third Proportional to 7,612,304.06 and 17,762,641.88

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Solution

The third proportional to 7,612,304.06 and 17,762,641.88 is: 41,447,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,304.06 : 17,762,641.88 = 17,762,641.88 : x
  2. Step 2: Convert to fraction form
    7,612,304.06/17,762,641.88 = 17,762,641.88/x
  3. Step 3: Cross multiply
    7,612,304.06x = 17,762,641.88 × 17,762,641.88
  4. Step 4: Simplify right side
    7,612,304.06x = 315,511,446,379,503.50
  5. Step 5: Solve for x
    x = 315,511,446,379,503.50/7,612,304.06
  6. Step 6: Final answer
    x = 41,447,562.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.