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Finding the Third Proportional to 6,465,984.75 and 9,725,972.63

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Solution

The third proportional to 6,465,984.75 and 9,725,972.63 is: 14,629,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465,984.75 : 9,725,972.63 = 9,725,972.63 : x
  2. Step 2: Convert to fraction form
    6,465,984.75/9,725,972.63 = 9,725,972.63/x
  3. Step 3: Cross multiply
    6,465,984.75x = 9,725,972.63 × 9,725,972.63
  4. Step 4: Simplify right side
    6,465,984.75x = 94,594,543,502,249.39
  5. Step 5: Solve for x
    x = 94,594,543,502,249.39/6,465,984.75
  6. Step 6: Final answer
    x = 14,629,564.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.