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Finding the Third Proportional to 10,850,402 and 16,415,291

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Solution

The third proportional to 10,850,402 and 16,415,291 is: 24,834,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850,402 : 16,415,291 = 16,415,291 : x
  2. Step 2: Convert to fraction form
    10,850,402/16,415,291 = 16,415,291/x
  3. Step 3: Cross multiply
    10,850,402x = 16,415,291 × 16,415,291
  4. Step 4: Simplify right side
    10,850,402x = 269,461,778,614,681
  5. Step 5: Solve for x
    x = 269,461,778,614,681/10,850,402
  6. Step 6: Final answer
    x = 24,834,266.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.