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Finding the Third Proportional to 4,719,457 and 7,166,178

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Solution

The third proportional to 4,719,457 and 7,166,178 is: 10,881,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719,457 : 7,166,178 = 7,166,178 : x
  2. Step 2: Convert to fraction form
    4,719,457/7,166,178 = 7,166,178/x
  3. Step 3: Cross multiply
    4,719,457x = 7,166,178 × 7,166,178
  4. Step 4: Simplify right side
    4,719,457x = 51,354,107,127,684
  5. Step 5: Solve for x
    x = 51,354,107,127,684/4,719,457
  6. Step 6: Final answer
    x = 10,881,359.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.