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Finding the Third Proportional to 10,219,588 and 16,031,526

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Solution

The third proportional to 10,219,588 and 16,031,526 is: 25,148,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,588 : 16,031,526 = 16,031,526 : x
  2. Step 2: Convert to fraction form
    10,219,588/16,031,526 = 16,031,526/x
  3. Step 3: Cross multiply
    10,219,588x = 16,031,526 × 16,031,526
  4. Step 4: Simplify right side
    10,219,588x = 257,009,825,888,676
  5. Step 5: Solve for x
    x = 257,009,825,888,676/10,219,588
  6. Step 6: Final answer
    x = 25,148,746.30

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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.