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Finding the Third Proportional to 2,931,133.50 and 6,458,597.44

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Solution

The third proportional to 2,931,133.50 and 6,458,597.44 is: 14,231,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,133.50 : 6,458,597.44 = 6,458,597.44 : x
  2. Step 2: Convert to fraction form
    2,931,133.50/6,458,597.44 = 6,458,597.44/x
  3. Step 3: Cross multiply
    2,931,133.50x = 6,458,597.44 × 6,458,597.44
  4. Step 4: Simplify right side
    2,931,133.50x = 41,713,480,859,681.56
  5. Step 5: Solve for x
    x = 41,713,480,859,681.56/2,931,133.50
  6. Step 6: Final answer
    x = 14,231,177.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.