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Finding the Third Proportional to 7,270,319 and 15,292,751

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Solution

The third proportional to 7,270,319 and 15,292,751 is: 32,167,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270,319 : 15,292,751 = 15,292,751 : x
  2. Step 2: Convert to fraction form
    7,270,319/15,292,751 = 15,292,751/x
  3. Step 3: Cross multiply
    7,270,319x = 15,292,751 × 15,292,751
  4. Step 4: Simplify right side
    7,270,319x = 233,868,233,148,001
  5. Step 5: Solve for x
    x = 233,868,233,148,001/7,270,319
  6. Step 6: Final answer
    x = 32,167,533.93

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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.