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Finding the Third Proportional to 6,437,011.50 and 9,021,454.50

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Solution

The third proportional to 6,437,011.50 and 9,021,454.50 is: 12,643,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437,011.50 : 9,021,454.50 = 9,021,454.50 : x
  2. Step 2: Convert to fraction form
    6,437,011.50/9,021,454.50 = 9,021,454.50/x
  3. Step 3: Cross multiply
    6,437,011.50x = 9,021,454.50 × 9,021,454.50
  4. Step 4: Simplify right side
    6,437,011.50x = 81,386,641,295,570.25
  5. Step 5: Solve for x
    x = 81,386,641,295,570.25/6,437,011.50
  6. Step 6: Final answer
    x = 12,643,544.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.