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Finding the Third Proportional to 9,983,422.13 and 14,266,541.25

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Solution

The third proportional to 9,983,422.13 and 14,266,541.25 is: 20,387,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,422.13 : 14,266,541.25 = 14,266,541.25 : x
  2. Step 2: Convert to fraction form
    9,983,422.13/14,266,541.25 = 14,266,541.25/x
  3. Step 3: Cross multiply
    9,983,422.13x = 14,266,541.25 × 14,266,541.25
  4. Step 4: Simplify right side
    9,983,422.13x = 203,534,199,237,951.56
  5. Step 5: Solve for x
    x = 203,534,199,237,951.56/9,983,422.13
  6. Step 6: Final answer
    x = 20,387,217.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.