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Finding the Third Proportional to 6,445,434.94 and 9,321,223.50

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Solution

The third proportional to 6,445,434.94 and 9,321,223.50 is: 13,480,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445,434.94 : 9,321,223.50 = 9,321,223.50 : x
  2. Step 2: Convert to fraction form
    6,445,434.94/9,321,223.50 = 9,321,223.50/x
  3. Step 3: Cross multiply
    6,445,434.94x = 9,321,223.50 × 9,321,223.50
  4. Step 4: Simplify right side
    6,445,434.94x = 86,885,207,536,952.25
  5. Step 5: Solve for x
    x = 86,885,207,536,952.25/6,445,434.94
  6. Step 6: Final answer
    x = 13,480,115.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.