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Finding the Third Proportional to 10,458,324 and 22,429,500.75

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Solution

The third proportional to 10,458,324 and 22,429,500.75 is: 48,103,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458,324 : 22,429,500.75 = 22,429,500.75 : x
  2. Step 2: Convert to fraction form
    10,458,324/22,429,500.75 = 22,429,500.75/x
  3. Step 3: Cross multiply
    10,458,324x = 22,429,500.75 × 22,429,500.75
  4. Step 4: Simplify right side
    10,458,324x = 503,082,503,894,250.56
  5. Step 5: Solve for x
    x = 503,082,503,894,250.56/10,458,324
  6. Step 6: Final answer
    x = 48,103,549.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.