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Finding the Third Proportional to 4,262,457 and 9,131,442

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Solution

The third proportional to 4,262,457 and 9,131,442 is: 19,562,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262,457 : 9,131,442 = 9,131,442 : x
  2. Step 2: Convert to fraction form
    4,262,457/9,131,442 = 9,131,442/x
  3. Step 3: Cross multiply
    4,262,457x = 9,131,442 × 9,131,442
  4. Step 4: Simplify right side
    4,262,457x = 83,383,232,999,364
  5. Step 5: Solve for x
    x = 83,383,232,999,364/4,262,457
  6. Step 6: Final answer
    x = 19,562,246.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.