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Finding the Third Proportional to 9,617,044.50 and 19,626,498

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Solution

The third proportional to 9,617,044.50 and 19,626,498 is: 40,053,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617,044.50 : 19,626,498 = 19,626,498 : x
  2. Step 2: Convert to fraction form
    9,617,044.50/19,626,498 = 19,626,498/x
  3. Step 3: Cross multiply
    9,617,044.50x = 19,626,498 × 19,626,498
  4. Step 4: Simplify right side
    9,617,044.50x = 385,199,423,744,004
  5. Step 5: Solve for x
    x = 385,199,423,744,004/9,617,044.50
  6. Step 6: Final answer
    x = 40,053,825.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.