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Finding the Third Proportional to 9,117,473 and 14,437,286

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Solution

The third proportional to 9,117,473 and 14,437,286 is: 22,861,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117,473 : 14,437,286 = 14,437,286 : x
  2. Step 2: Convert to fraction form
    9,117,473/14,437,286 = 14,437,286/x
  3. Step 3: Cross multiply
    9,117,473x = 14,437,286 × 14,437,286
  4. Step 4: Simplify right side
    9,117,473x = 208,435,227,045,796
  5. Step 5: Solve for x
    x = 208,435,227,045,796/9,117,473
  6. Step 6: Final answer
    x = 22,861,074.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.