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Finding the Third Proportional to 7,665,374 and 11,782,229

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Solution

The third proportional to 7,665,374 and 11,782,229 is: 18,110,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,374 : 11,782,229 = 11,782,229 : x
  2. Step 2: Convert to fraction form
    7,665,374/11,782,229 = 11,782,229/x
  3. Step 3: Cross multiply
    7,665,374x = 11,782,229 × 11,782,229
  4. Step 4: Simplify right side
    7,665,374x = 138,820,920,208,441
  5. Step 5: Solve for x
    x = 138,820,920,208,441/7,665,374
  6. Step 6: Final answer
    x = 18,110,130.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.