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Finding the Third Proportional to 9,460,138 and 14,615,754

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Solution

The third proportional to 9,460,138 and 14,615,754 is: 22,581,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460,138 : 14,615,754 = 14,615,754 : x
  2. Step 2: Convert to fraction form
    9,460,138/14,615,754 = 14,615,754/x
  3. Step 3: Cross multiply
    9,460,138x = 14,615,754 × 14,615,754
  4. Step 4: Simplify right side
    9,460,138x = 213,620,264,988,516
  5. Step 5: Solve for x
    x = 213,620,264,988,516/9,460,138
  6. Step 6: Final answer
    x = 22,581,093.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.