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Finding the Third Proportional to 9,501,984 and 20,746,318

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Solution

The third proportional to 9,501,984 and 20,746,318 is: 45,296,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501,984 : 20,746,318 = 20,746,318 : x
  2. Step 2: Convert to fraction form
    9,501,984/20,746,318 = 20,746,318/x
  3. Step 3: Cross multiply
    9,501,984x = 20,746,318 × 20,746,318
  4. Step 4: Simplify right side
    9,501,984x = 430,409,710,557,124
  5. Step 5: Solve for x
    x = 430,409,710,557,124/9,501,984
  6. Step 6: Final answer
    x = 45,296,825.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.