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Finding the Third Proportional to 8,165,054 and 12,011,367

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Solution

The third proportional to 8,165,054 and 12,011,367 is: 17,669,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165,054 : 12,011,367 = 12,011,367 : x
  2. Step 2: Convert to fraction form
    8,165,054/12,011,367 = 12,011,367/x
  3. Step 3: Cross multiply
    8,165,054x = 12,011,367 × 12,011,367
  4. Step 4: Simplify right side
    8,165,054x = 144,272,937,208,689
  5. Step 5: Solve for x
    x = 144,272,937,208,689/8,165,054
  6. Step 6: Final answer
    x = 17,669,563.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.