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Finding the Third Proportional to 10,862,409.75 and 22,617,710.25

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Solution

The third proportional to 10,862,409.75 and 22,617,710.25 is: 47,094,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862,409.75 : 22,617,710.25 = 22,617,710.25 : x
  2. Step 2: Convert to fraction form
    10,862,409.75/22,617,710.25 = 22,617,710.25/x
  3. Step 3: Cross multiply
    10,862,409.75x = 22,617,710.25 × 22,617,710.25
  4. Step 4: Simplify right side
    10,862,409.75x = 511,560,816,952,955.06
  5. Step 5: Solve for x
    x = 511,560,816,952,955.06/10,862,409.75
  6. Step 6: Final answer
    x = 47,094,597.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.