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Finding the Third Proportional to 4,525,522 and 9,822,486

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Solution

The third proportional to 4,525,522 and 9,822,486 is: 21,319,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525,522 : 9,822,486 = 9,822,486 : x
  2. Step 2: Convert to fraction form
    4,525,522/9,822,486 = 9,822,486/x
  3. Step 3: Cross multiply
    4,525,522x = 9,822,486 × 9,822,486
  4. Step 4: Simplify right side
    4,525,522x = 96,481,231,220,196
  5. Step 5: Solve for x
    x = 96,481,231,220,196/4,525,522
  6. Step 6: Final answer
    x = 21,319,359.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.