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Finding the Third Proportional to 7,358,786 and 16,085,572

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Solution

The third proportional to 7,358,786 and 16,085,572 is: 35,161,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358,786 : 16,085,572 = 16,085,572 : x
  2. Step 2: Convert to fraction form
    7,358,786/16,085,572 = 16,085,572/x
  3. Step 3: Cross multiply
    7,358,786x = 16,085,572 × 16,085,572
  4. Step 4: Simplify right side
    7,358,786x = 258,745,626,567,184
  5. Step 5: Solve for x
    x = 258,745,626,567,184/7,358,786
  6. Step 6: Final answer
    x = 35,161,455.51

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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.