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Finding the Third Proportional to 7,259,084 and 11,142,409

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Solution

The third proportional to 7,259,084 and 11,142,409 is: 17,103,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259,084 : 11,142,409 = 11,142,409 : x
  2. Step 2: Convert to fraction form
    7,259,084/11,142,409 = 11,142,409/x
  3. Step 3: Cross multiply
    7,259,084x = 11,142,409 × 11,142,409
  4. Step 4: Simplify right side
    7,259,084x = 124,153,278,323,281
  5. Step 5: Solve for x
    x = 124,153,278,323,281/7,259,084
  6. Step 6: Final answer
    x = 17,103,160.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.