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Finding the Third Proportional to 10,219,392 and 16,031,232

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Solution

The third proportional to 10,219,392 and 16,031,232 is: 25,148,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,392 : 16,031,232 = 16,031,232 : x
  2. Step 2: Convert to fraction form
    10,219,392/16,031,232 = 16,031,232/x
  3. Step 3: Cross multiply
    10,219,392x = 16,031,232 × 16,031,232
  4. Step 4: Simplify right side
    10,219,392x = 257,000,399,437,824
  5. Step 5: Solve for x
    x = 257,000,399,437,824/10,219,392
  6. Step 6: Final answer
    x = 25,148,306.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.