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Finding the Third Proportional to 4,411,104 and 6,746,418

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Solution

The third proportional to 4,411,104 and 6,746,418 is: 10,318,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411,104 : 6,746,418 = 6,746,418 : x
  2. Step 2: Convert to fraction form
    4,411,104/6,746,418 = 6,746,418/x
  3. Step 3: Cross multiply
    4,411,104x = 6,746,418 × 6,746,418
  4. Step 4: Simplify right side
    4,411,104x = 45,514,155,830,724
  5. Step 5: Solve for x
    x = 45,514,155,830,724/4,411,104
  6. Step 6: Final answer
    x = 10,318,087.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.