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Finding the Third Proportional to 6,475,396 and 9,503,142

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Solution

The third proportional to 6,475,396 and 9,503,142 is: 13,946,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,396 : 9,503,142 = 9,503,142 : x
  2. Step 2: Convert to fraction form
    6,475,396/9,503,142 = 9,503,142/x
  3. Step 3: Cross multiply
    6,475,396x = 9,503,142 × 9,503,142
  4. Step 4: Simplify right side
    6,475,396x = 90,309,707,872,164
  5. Step 5: Solve for x
    x = 90,309,707,872,164/6,475,396
  6. Step 6: Final answer
    x = 13,946,592.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.