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Finding the Third Proportional to 10,473,984 and 16,255,630.50

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Solution

The third proportional to 10,473,984 and 16,255,630.50 is: 25,228,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473,984 : 16,255,630.50 = 16,255,630.50 : x
  2. Step 2: Convert to fraction form
    10,473,984/16,255,630.50 = 16,255,630.50/x
  3. Step 3: Cross multiply
    10,473,984x = 16,255,630.50 × 16,255,630.50
  4. Step 4: Simplify right side
    10,473,984x = 264,245,522,952,530.25
  5. Step 5: Solve for x
    x = 264,245,522,952,530.25/10,473,984
  6. Step 6: Final answer
    x = 25,228,749.92

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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.