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Finding the Third Proportional to 3,461,421 and 7,575,374

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Solution

The third proportional to 3,461,421 and 7,575,374 is: 16,578,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,421 : 7,575,374 = 7,575,374 : x
  2. Step 2: Convert to fraction form
    3,461,421/7,575,374 = 7,575,374/x
  3. Step 3: Cross multiply
    3,461,421x = 7,575,374 × 7,575,374
  4. Step 4: Simplify right side
    3,461,421x = 57,386,291,239,876
  5. Step 5: Solve for x
    x = 57,386,291,239,876/3,461,421
  6. Step 6: Final answer
    x = 16,578,824.49

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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.