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Finding the Third Proportional to 11,184,216 and 24,461,784

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Solution

The third proportional to 11,184,216 and 24,461,784 is: 53,502,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184,216 : 24,461,784 = 24,461,784 : x
  2. Step 2: Convert to fraction form
    11,184,216/24,461,784 = 24,461,784/x
  3. Step 3: Cross multiply
    11,184,216x = 24,461,784 × 24,461,784
  4. Step 4: Simplify right side
    11,184,216x = 598,378,876,462,656
  5. Step 5: Solve for x
    x = 598,378,876,462,656/11,184,216
  6. Step 6: Final answer
    x = 53,502,085.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.