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Finding the Third Proportional to 7,101,680 and 15,532,258

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Solution

The third proportional to 7,101,680 and 15,532,258 is: 33,970,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101,680 : 15,532,258 = 15,532,258 : x
  2. Step 2: Convert to fraction form
    7,101,680/15,532,258 = 15,532,258/x
  3. Step 3: Cross multiply
    7,101,680x = 15,532,258 × 15,532,258
  4. Step 4: Simplify right side
    7,101,680x = 241,251,038,578,564
  5. Step 5: Solve for x
    x = 241,251,038,578,564/7,101,680
  6. Step 6: Final answer
    x = 33,970,981.31

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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.