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Finding the Third Proportional to 6,983,788 and 15,266,168

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Solution

The third proportional to 6,983,788 and 15,266,168 is: 33,370,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983,788 : 15,266,168 = 15,266,168 : x
  2. Step 2: Convert to fraction form
    6,983,788/15,266,168 = 15,266,168/x
  3. Step 3: Cross multiply
    6,983,788x = 15,266,168 × 15,266,168
  4. Step 4: Simplify right side
    6,983,788x = 233,055,885,404,224
  5. Step 5: Solve for x
    x = 233,055,885,404,224/6,983,788
  6. Step 6: Final answer
    x = 33,370,985.12

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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.