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Finding the Third Proportional to 11,653,965 and 18,281,628

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Solution

The third proportional to 11,653,965 and 18,281,628 is: 28,678,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653,965 : 18,281,628 = 18,281,628 : x
  2. Step 2: Convert to fraction form
    11,653,965/18,281,628 = 18,281,628/x
  3. Step 3: Cross multiply
    11,653,965x = 18,281,628 × 18,281,628
  4. Step 4: Simplify right side
    11,653,965x = 334,217,922,330,384
  5. Step 5: Solve for x
    x = 334,217,922,330,384/11,653,965
  6. Step 6: Final answer
    x = 28,678,473.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.