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Finding the Third Proportional to 10,634,409 and 23,193,702

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Solution

The third proportional to 10,634,409 and 23,193,702 is: 50,585,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634,409 : 23,193,702 = 23,193,702 : x
  2. Step 2: Convert to fraction form
    10,634,409/23,193,702 = 23,193,702/x
  3. Step 3: Cross multiply
    10,634,409x = 23,193,702 × 23,193,702
  4. Step 4: Simplify right side
    10,634,409x = 537,947,812,464,804
  5. Step 5: Solve for x
    x = 537,947,812,464,804/10,634,409
  6. Step 6: Final answer
    x = 50,585,586.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.