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Finding the Third Proportional to 7,883,628 and 16,997,808

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Solution

The third proportional to 7,883,628 and 16,997,808 is: 36,648,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,628 : 16,997,808 = 16,997,808 : x
  2. Step 2: Convert to fraction form
    7,883,628/16,997,808 = 16,997,808/x
  3. Step 3: Cross multiply
    7,883,628x = 16,997,808 × 16,997,808
  4. Step 4: Simplify right side
    7,883,628x = 288,925,476,804,864
  5. Step 5: Solve for x
    x = 288,925,476,804,864/7,883,628
  6. Step 6: Final answer
    x = 36,648,796.32

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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.