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Finding the Third Proportional to 7,712,893 and 11,285,422

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Solution

The third proportional to 7,712,893 and 11,285,422 is: 16,512,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,893 : 11,285,422 = 11,285,422 : x
  2. Step 2: Convert to fraction form
    7,712,893/11,285,422 = 11,285,422/x
  3. Step 3: Cross multiply
    7,712,893x = 11,285,422 × 11,285,422
  4. Step 4: Simplify right side
    7,712,893x = 127,360,749,718,084
  5. Step 5: Solve for x
    x = 127,360,749,718,084/7,712,893
  6. Step 6: Final answer
    x = 16,512,707.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.