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Finding the Third Proportional to 4,654,751 and 7,265,017.50

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Solution

The third proportional to 4,654,751 and 7,265,017.50 is: 11,339,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654,751 : 7,265,017.50 = 7,265,017.50 : x
  2. Step 2: Convert to fraction form
    4,654,751/7,265,017.50 = 7,265,017.50/x
  3. Step 3: Cross multiply
    4,654,751x = 7,265,017.50 × 7,265,017.50
  4. Step 4: Simplify right side
    4,654,751x = 52,780,479,275,306.25
  5. Step 5: Solve for x
    x = 52,780,479,275,306.25/4,654,751
  6. Step 6: Final answer
    x = 11,339,055.36

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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.