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Finding the Third Proportional to 7,649,816 and 16,645,492

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Solution

The third proportional to 7,649,816 and 16,645,492 is: 36,219,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,816 : 16,645,492 = 16,645,492 : x
  2. Step 2: Convert to fraction form
    7,649,816/16,645,492 = 16,645,492/x
  3. Step 3: Cross multiply
    7,649,816x = 16,645,492 × 16,645,492
  4. Step 4: Simplify right side
    7,649,816x = 277,072,403,922,064
  5. Step 5: Solve for x
    x = 277,072,403,922,064/7,649,816
  6. Step 6: Final answer
    x = 36,219,486.05

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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.