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Finding the Third Proportional to 9,124,214 and 12,756,261

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Solution

The third proportional to 9,124,214 and 12,756,261 is: 17,834,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124,214 : 12,756,261 = 12,756,261 : x
  2. Step 2: Convert to fraction form
    9,124,214/12,756,261 = 12,756,261/x
  3. Step 3: Cross multiply
    9,124,214x = 12,756,261 × 12,756,261
  4. Step 4: Simplify right side
    9,124,214x = 162,722,194,700,121
  5. Step 5: Solve for x
    x = 162,722,194,700,121/9,124,214
  6. Step 6: Final answer
    x = 17,834,105.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.