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Finding the Third Proportional to 4,292,354 and 9,096,466

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Solution

The third proportional to 4,292,354 and 9,096,466 is: 19,277,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292,354 : 9,096,466 = 9,096,466 : x
  2. Step 2: Convert to fraction form
    4,292,354/9,096,466 = 9,096,466/x
  3. Step 3: Cross multiply
    4,292,354x = 9,096,466 × 9,096,466
  4. Step 4: Simplify right side
    4,292,354x = 82,745,693,689,156
  5. Step 5: Solve for x
    x = 82,745,693,689,156/4,292,354
  6. Step 6: Final answer
    x = 19,277,462.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.