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Finding the Third Proportional to 11,411,402 and 24,620,419

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Solution

The third proportional to 11,411,402 and 24,620,419 is: 53,119,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411,402 : 24,620,419 = 24,620,419 : x
  2. Step 2: Convert to fraction form
    11,411,402/24,620,419 = 24,620,419/x
  3. Step 3: Cross multiply
    11,411,402x = 24,620,419 × 24,620,419
  4. Step 4: Simplify right side
    11,411,402x = 606,165,031,735,561
  5. Step 5: Solve for x
    x = 606,165,031,735,561/11,411,402
  6. Step 6: Final answer
    x = 53,119,242.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.