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Finding the Third Proportional to 9,446,940 and 15,039,258

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Solution

The third proportional to 9,446,940 and 15,039,258 is: 23,942,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446,940 : 15,039,258 = 15,039,258 : x
  2. Step 2: Convert to fraction form
    9,446,940/15,039,258 = 15,039,258/x
  3. Step 3: Cross multiply
    9,446,940x = 15,039,258 × 15,039,258
  4. Step 4: Simplify right side
    9,446,940x = 226,179,281,190,564
  5. Step 5: Solve for x
    x = 226,179,281,190,564/9,446,940
  6. Step 6: Final answer
    x = 23,942,068.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.