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Finding the Third Proportional to 10,286,259 and 14,010,369

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Solution

The third proportional to 10,286,259 and 14,010,369 is: 19,082,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,259 : 14,010,369 = 14,010,369 : x
  2. Step 2: Convert to fraction form
    10,286,259/14,010,369 = 14,010,369/x
  3. Step 3: Cross multiply
    10,286,259x = 14,010,369 × 14,010,369
  4. Step 4: Simplify right side
    10,286,259x = 196,290,439,516,161
  5. Step 5: Solve for x
    x = 196,290,439,516,161/10,286,259
  6. Step 6: Final answer
    x = 19,082,782.14

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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.