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Finding the Third Proportional to 9,865,584 and 21,616,416

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Solution

The third proportional to 9,865,584 and 21,616,416 is: 47,363,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,584 : 21,616,416 = 21,616,416 : x
  2. Step 2: Convert to fraction form
    9,865,584/21,616,416 = 21,616,416/x
  3. Step 3: Cross multiply
    9,865,584x = 21,616,416 × 21,616,416
  4. Step 4: Simplify right side
    9,865,584x = 467,269,440,685,056
  5. Step 5: Solve for x
    x = 467,269,440,685,056/9,865,584
  6. Step 6: Final answer
    x = 47,363,586.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.