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Finding the Third Proportional to 4,674,207 and 7,180,154

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Solution

The third proportional to 4,674,207 and 7,180,154 is: 11,029,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,207 : 7,180,154 = 7,180,154 : x
  2. Step 2: Convert to fraction form
    4,674,207/7,180,154 = 7,180,154/x
  3. Step 3: Cross multiply
    4,674,207x = 7,180,154 × 7,180,154
  4. Step 4: Simplify right side
    4,674,207x = 51,554,611,463,716
  5. Step 5: Solve for x
    x = 51,554,611,463,716/4,674,207
  6. Step 6: Final answer
    x = 11,029,595.28

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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.