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Finding the Third Proportional to 6,965,033 and 14,635,090

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Solution

The third proportional to 6,965,033 and 14,635,090 is: 30,751,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,033 : 14,635,090 = 14,635,090 : x
  2. Step 2: Convert to fraction form
    6,965,033/14,635,090 = 14,635,090/x
  3. Step 3: Cross multiply
    6,965,033x = 14,635,090 × 14,635,090
  4. Step 4: Simplify right side
    6,965,033x = 214,185,859,308,100
  5. Step 5: Solve for x
    x = 214,185,859,308,100/6,965,033
  6. Step 6: Final answer
    x = 30,751,592.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.