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Finding the Third Proportional to 9,470,946 and 20,455,212

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Solution

The third proportional to 9,470,946 and 20,455,212 is: 44,178,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470,946 : 20,455,212 = 20,455,212 : x
  2. Step 2: Convert to fraction form
    9,470,946/20,455,212 = 20,455,212/x
  3. Step 3: Cross multiply
    9,470,946x = 20,455,212 × 20,455,212
  4. Step 4: Simplify right side
    9,470,946x = 418,415,697,964,944
  5. Step 5: Solve for x
    x = 418,415,697,964,944/9,470,946
  6. Step 6: Final answer
    x = 44,178,870.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.