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Finding the Third Proportional to 8,411,219 and 12,602,786

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Solution

The third proportional to 8,411,219 and 12,602,786 is: 18,883,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411,219 : 12,602,786 = 12,602,786 : x
  2. Step 2: Convert to fraction form
    8,411,219/12,602,786 = 12,602,786/x
  3. Step 3: Cross multiply
    8,411,219x = 12,602,786 × 12,602,786
  4. Step 4: Simplify right side
    8,411,219x = 158,830,214,961,796
  5. Step 5: Solve for x
    x = 158,830,214,961,796/8,411,219
  6. Step 6: Final answer
    x = 18,883,138.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.