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Finding the Third Proportional to 11,428,216 and 24,406,332

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Solution

The third proportional to 11,428,216 and 24,406,332 is: 52,122,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,216 : 24,406,332 = 24,406,332 : x
  2. Step 2: Convert to fraction form
    11,428,216/24,406,332 = 24,406,332/x
  3. Step 3: Cross multiply
    11,428,216x = 24,406,332 × 24,406,332
  4. Step 4: Simplify right side
    11,428,216x = 595,669,041,694,224
  5. Step 5: Solve for x
    x = 595,669,041,694,224/11,428,216
  6. Step 6: Final answer
    x = 52,122,662.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.