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Finding the Third Proportional to 8,420,386 and 18,256,842

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Solution

The third proportional to 8,420,386 and 18,256,842 is: 39,583,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420,386 : 18,256,842 = 18,256,842 : x
  2. Step 2: Convert to fraction form
    8,420,386/18,256,842 = 18,256,842/x
  3. Step 3: Cross multiply
    8,420,386x = 18,256,842 × 18,256,842
  4. Step 4: Simplify right side
    8,420,386x = 333,312,279,812,964
  5. Step 5: Solve for x
    x = 333,312,279,812,964/8,420,386
  6. Step 6: Final answer
    x = 39,583,966.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.