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Finding the Third Proportional to 4,971,582 and 7,677,162

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Solution

The third proportional to 4,971,582 and 7,677,162 is: 11,855,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971,582 : 7,677,162 = 7,677,162 : x
  2. Step 2: Convert to fraction form
    4,971,582/7,677,162 = 7,677,162/x
  3. Step 3: Cross multiply
    4,971,582x = 7,677,162 × 7,677,162
  4. Step 4: Simplify right side
    4,971,582x = 58,938,816,374,244
  5. Step 5: Solve for x
    x = 58,938,816,374,244/4,971,582
  6. Step 6: Final answer
    x = 11,855,143.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.