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Finding the Third Proportional to 6,948,590 and 10,024,258

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Solution

The third proportional to 6,948,590 and 10,024,258 is: 14,461,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,590 : 10,024,258 = 10,024,258 : x
  2. Step 2: Convert to fraction form
    6,948,590/10,024,258 = 10,024,258/x
  3. Step 3: Cross multiply
    6,948,590x = 10,024,258 × 10,024,258
  4. Step 4: Simplify right side
    6,948,590x = 100,485,748,450,564
  5. Step 5: Solve for x
    x = 100,485,748,450,564/6,948,590
  6. Step 6: Final answer
    x = 14,461,314.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.