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Finding the Third Proportional to 9,945,835.28 and 14,857,397.31

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Solution

The third proportional to 9,945,835.28 and 14,857,397.31 is: 22,194,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,835.28 : 14,857,397.31 = 14,857,397.31 : x
  2. Step 2: Convert to fraction form
    9,945,835.28/14,857,397.31 = 14,857,397.31/x
  3. Step 3: Cross multiply
    9,945,835.28x = 14,857,397.31 × 14,857,397.31
  4. Step 4: Simplify right side
    9,945,835.28x = 220,742,254,959,515.22
  5. Step 5: Solve for x
    x = 220,742,254,959,515.22/9,945,835.28
  6. Step 6: Final answer
    x = 22,194,441.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.