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Finding the Third Proportional to 4,585,414 and 9,717,011

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Solution

The third proportional to 4,585,414 and 9,717,011 is: 20,591,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585,414 : 9,717,011 = 9,717,011 : x
  2. Step 2: Convert to fraction form
    4,585,414/9,717,011 = 9,717,011/x
  3. Step 3: Cross multiply
    4,585,414x = 9,717,011 × 9,717,011
  4. Step 4: Simplify right side
    4,585,414x = 94,420,302,774,121
  5. Step 5: Solve for x
    x = 94,420,302,774,121/4,585,414
  6. Step 6: Final answer
    x = 20,591,445.57

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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.