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Finding the Third Proportional to 4,307,488.50 and 6,668,944.50

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Solution

The third proportional to 4,307,488.50 and 6,668,944.50 is: 10,325,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,488.50 : 6,668,944.50 = 6,668,944.50 : x
  2. Step 2: Convert to fraction form
    4,307,488.50/6,668,944.50 = 6,668,944.50/x
  3. Step 3: Cross multiply
    4,307,488.50x = 6,668,944.50 × 6,668,944.50
  4. Step 4: Simplify right side
    4,307,488.50x = 44,474,820,744,080.25
  5. Step 5: Solve for x
    x = 44,474,820,744,080.25/4,307,488.50
  6. Step 6: Final answer
    x = 10,325,000.46

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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.