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Finding the Third Proportional to 7,879,894 and 17,254,454

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Solution

The third proportional to 7,879,894 and 17,254,454 is: 37,781,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,894 : 17,254,454 = 17,254,454 : x
  2. Step 2: Convert to fraction form
    7,879,894/17,254,454 = 17,254,454/x
  3. Step 3: Cross multiply
    7,879,894x = 17,254,454 × 17,254,454
  4. Step 4: Simplify right side
    7,879,894x = 297,716,182,838,116
  5. Step 5: Solve for x
    x = 297,716,182,838,116/7,879,894
  6. Step 6: Final answer
    x = 37,781,749.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.