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Finding the Third Proportional to 7,636,480 and 16,468,480

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Solution

The third proportional to 7,636,480 and 16,468,480 is: 35,515,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636,480 : 16,468,480 = 16,468,480 : x
  2. Step 2: Convert to fraction form
    7,636,480/16,468,480 = 16,468,480/x
  3. Step 3: Cross multiply
    7,636,480x = 16,468,480 × 16,468,480
  4. Step 4: Simplify right side
    7,636,480x = 271,210,833,510,400
  5. Step 5: Solve for x
    x = 271,210,833,510,400/7,636,480
  6. Step 6: Final answer
    x = 35,515,163.20

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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.