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Finding the Third Proportional to 7,649,804 and 16,645,468

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Solution

The third proportional to 7,649,804 and 16,645,468 is: 36,219,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,804 : 16,645,468 = 16,645,468 : x
  2. Step 2: Convert to fraction form
    7,649,804/16,645,468 = 16,645,468/x
  3. Step 3: Cross multiply
    7,649,804x = 16,645,468 × 16,645,468
  4. Step 4: Simplify right side
    7,649,804x = 277,071,604,939,024
  5. Step 5: Solve for x
    x = 277,071,604,939,024/7,649,804
  6. Step 6: Final answer
    x = 36,219,438.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.