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Finding the Third Proportional to 7,182,138 and 15,759,636

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Solution

The third proportional to 7,182,138 and 15,759,636 is: 34,581,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,138 : 15,759,636 = 15,759,636 : x
  2. Step 2: Convert to fraction form
    7,182,138/15,759,636 = 15,759,636/x
  3. Step 3: Cross multiply
    7,182,138x = 15,759,636 × 15,759,636
  4. Step 4: Simplify right side
    7,182,138x = 248,366,126,852,496
  5. Step 5: Solve for x
    x = 248,366,126,852,496/7,182,138
  6. Step 6: Final answer
    x = 34,581,085.31

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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.