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Finding the Third Proportional to 6,170,616 and 13,289,472

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Solution

The third proportional to 6,170,616 and 13,289,472 is: 28,621,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,616 : 13,289,472 = 13,289,472 : x
  2. Step 2: Convert to fraction form
    6,170,616/13,289,472 = 13,289,472/x
  3. Step 3: Cross multiply
    6,170,616x = 13,289,472 × 13,289,472
  4. Step 4: Simplify right side
    6,170,616x = 176,610,066,038,784
  5. Step 5: Solve for x
    x = 176,610,066,038,784/6,170,616
  6. Step 6: Final answer
    x = 28,621,140.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.