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Finding the Third Proportional to 24,706,082 and 35,641,785

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Solution

The third proportional to 24,706,082 and 35,641,785 is: 51,417,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706,082 : 35,641,785 = 35,641,785 : x
  2. Step 2: Convert to fraction form
    24,706,082/35,641,785 = 35,641,785/x
  3. Step 3: Cross multiply
    24,706,082x = 35,641,785 × 35,641,785
  4. Step 4: Simplify right side
    24,706,082x = 1,270,336,837,986,225
  5. Step 5: Solve for x
    x = 1,270,336,837,986,225/24,706,082
  6. Step 6: Final answer
    x = 51,417,980.32

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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.