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Finding the Third Proportional to 14,276,610 and 21,749,513

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Solution

The third proportional to 14,276,610 and 21,749,513 is: 33,134,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276,610 : 21,749,513 = 21,749,513 : x
  2. Step 2: Convert to fraction form
    14,276,610/21,749,513 = 21,749,513/x
  3. Step 3: Cross multiply
    14,276,610x = 21,749,513 × 21,749,513
  4. Step 4: Simplify right side
    14,276,610x = 473,041,315,737,169
  5. Step 5: Solve for x
    x = 473,041,315,737,169/14,276,610
  6. Step 6: Final answer
    x = 33,134,008.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.