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Finding the Third Proportional to 10,286,250 and 14,010,352.50

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Solution

The third proportional to 10,286,250 and 14,010,352.50 is: 19,082,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,250 : 14,010,352.50 = 14,010,352.50 : x
  2. Step 2: Convert to fraction form
    10,286,250/14,010,352.50 = 14,010,352.50/x
  3. Step 3: Cross multiply
    10,286,250x = 14,010,352.50 × 14,010,352.50
  4. Step 4: Simplify right side
    10,286,250x = 196,289,977,174,256.25
  5. Step 5: Solve for x
    x = 196,289,977,174,256.25/10,286,250
  6. Step 6: Final answer
    x = 19,082,753.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.