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Finding the Third Proportional to 9,273,668 and 19,823,585

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Solution

The third proportional to 9,273,668 and 19,823,585 is: 42,375,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273,668 : 19,823,585 = 19,823,585 : x
  2. Step 2: Convert to fraction form
    9,273,668/19,823,585 = 19,823,585/x
  3. Step 3: Cross multiply
    9,273,668x = 19,823,585 × 19,823,585
  4. Step 4: Simplify right side
    9,273,668x = 392,974,522,252,225
  5. Step 5: Solve for x
    x = 392,974,522,252,225/9,273,668
  6. Step 6: Final answer
    x = 42,375,306.32

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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.