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Finding the Third Proportional to 10,583,950 and 14,905,034

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Solution

The third proportional to 10,583,950 and 14,905,034 is: 20,990,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583,950 : 14,905,034 = 14,905,034 : x
  2. Step 2: Convert to fraction form
    10,583,950/14,905,034 = 14,905,034/x
  3. Step 3: Cross multiply
    10,583,950x = 14,905,034 × 14,905,034
  4. Step 4: Simplify right side
    10,583,950x = 222,160,038,541,156
  5. Step 5: Solve for x
    x = 222,160,038,541,156/10,583,950
  6. Step 6: Final answer
    x = 20,990,276.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.