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Finding the Third Proportional to 9,489,700.55 and 19,652,313.66

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Solution

The third proportional to 9,489,700.55 and 19,652,313.66 is: 40,698,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489,700.55 : 19,652,313.66 = 19,652,313.66 : x
  2. Step 2: Convert to fraction form
    9,489,700.55/19,652,313.66 = 19,652,313.66/x
  3. Step 3: Cross multiply
    9,489,700.55x = 19,652,313.66 × 19,652,313.66
  4. Step 4: Simplify right side
    9,489,700.55x = 386,213,432,043,630.25
  5. Step 5: Solve for x
    x = 386,213,432,043,630.25/9,489,700.55
  6. Step 6: Final answer
    x = 40,698,168.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.