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Finding the Third Proportional to 9,538,020 and 20,659,426.50

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Solution

The third proportional to 9,538,020 and 20,659,426.50 is: 44,748,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538,020 : 20,659,426.50 = 20,659,426.50 : x
  2. Step 2: Convert to fraction form
    9,538,020/20,659,426.50 = 20,659,426.50/x
  3. Step 3: Cross multiply
    9,538,020x = 20,659,426.50 × 20,659,426.50
  4. Step 4: Simplify right side
    9,538,020x = 426,811,903,308,902.25
  5. Step 5: Solve for x
    x = 426,811,903,308,902.25/9,538,020
  6. Step 6: Final answer
    x = 44,748,480.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.