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Finding the Third Proportional to 20,216,768 and 47,724,928

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Solution

The third proportional to 20,216,768 and 47,724,928 is: 112,662,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216,768 : 47,724,928 = 47,724,928 : x
  2. Step 2: Convert to fraction form
    20,216,768/47,724,928 = 47,724,928/x
  3. Step 3: Cross multiply
    20,216,768x = 47,724,928 × 47,724,928
  4. Step 4: Simplify right side
    20,216,768x = 2,277,668,752,605,184
  5. Step 5: Solve for x
    x = 2,277,668,752,605,184/20,216,768
  6. Step 6: Final answer
    x = 112,662,357.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.