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Finding the Third Proportional to 10,207,200.75 and 16,170,461.63

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Solution

The third proportional to 10,207,200.75 and 16,170,461.63 is: 25,617,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207,200.75 : 16,170,461.63 = 16,170,461.63 : x
  2. Step 2: Convert to fraction form
    10,207,200.75/16,170,461.63 = 16,170,461.63/x
  3. Step 3: Cross multiply
    10,207,200.75x = 16,170,461.63 × 16,170,461.63
  4. Step 4: Simplify right side
    10,207,200.75x = 261,483,829,165,597.62
  5. Step 5: Solve for x
    x = 261,483,829,165,597.62/10,207,200.75
  6. Step 6: Final answer
    x = 25,617,584.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.