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Finding the Third Proportional to 7,525,821 and 16,513,206

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Solution

The third proportional to 7,525,821 and 16,513,206 is: 36,233,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525,821 : 16,513,206 = 16,513,206 : x
  2. Step 2: Convert to fraction form
    7,525,821/16,513,206 = 16,513,206/x
  3. Step 3: Cross multiply
    7,525,821x = 16,513,206 × 16,513,206
  4. Step 4: Simplify right side
    7,525,821x = 272,685,972,398,436
  5. Step 5: Solve for x
    x = 272,685,972,398,436/7,525,821
  6. Step 6: Final answer
    x = 36,233,385.35

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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.