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Finding the Third Proportional to 10,937,829 and 23,571,354

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Solution

The third proportional to 10,937,829 and 23,571,354 is: 50,796,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937,829 : 23,571,354 = 23,571,354 : x
  2. Step 2: Convert to fraction form
    10,937,829/23,571,354 = 23,571,354/x
  3. Step 3: Cross multiply
    10,937,829x = 23,571,354 × 23,571,354
  4. Step 4: Simplify right side
    10,937,829x = 555,608,729,393,316
  5. Step 5: Solve for x
    x = 555,608,729,393,316/10,937,829
  6. Step 6: Final answer
    x = 50,796,984.43

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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.