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Finding the Third Proportional to 7,852,545 and 16,610,463

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Solution

The third proportional to 7,852,545 and 16,610,463 is: 35,136,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,545 : 16,610,463 = 16,610,463 : x
  2. Step 2: Convert to fraction form
    7,852,545/16,610,463 = 16,610,463/x
  3. Step 3: Cross multiply
    7,852,545x = 16,610,463 × 16,610,463
  4. Step 4: Simplify right side
    7,852,545x = 275,907,481,074,369
  5. Step 5: Solve for x
    x = 275,907,481,074,369/7,852,545
  6. Step 6: Final answer
    x = 35,136,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.