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Finding the Third Proportional to 8,075,323 and 12,412,349

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Solution

The third proportional to 8,075,323 and 12,412,349 is: 19,078,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075,323 : 12,412,349 = 12,412,349 : x
  2. Step 2: Convert to fraction form
    8,075,323/12,412,349 = 12,412,349/x
  3. Step 3: Cross multiply
    8,075,323x = 12,412,349 × 12,412,349
  4. Step 4: Simplify right side
    8,075,323x = 154,066,407,697,801
  5. Step 5: Solve for x
    x = 154,066,407,697,801/8,075,323
  6. Step 6: Final answer
    x = 19,078,668.15

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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.