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Finding the Third Proportional to 7,100,769 and 15,530,139

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Solution

The third proportional to 7,100,769 and 15,530,139 is: 33,966,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100,769 : 15,530,139 = 15,530,139 : x
  2. Step 2: Convert to fraction form
    7,100,769/15,530,139 = 15,530,139/x
  3. Step 3: Cross multiply
    7,100,769x = 15,530,139 × 15,530,139
  4. Step 4: Simplify right side
    7,100,769x = 241,185,217,359,321
  5. Step 5: Solve for x
    x = 241,185,217,359,321/7,100,769
  6. Step 6: Final answer
    x = 33,966,070.06

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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.