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Finding the Third Proportional to 9,697,276 and 21,211,951

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Solution

The third proportional to 9,697,276 and 21,211,951 is: 46,399,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,276 : 21,211,951 = 21,211,951 : x
  2. Step 2: Convert to fraction form
    9,697,276/21,211,951 = 21,211,951/x
  3. Step 3: Cross multiply
    9,697,276x = 21,211,951 × 21,211,951
  4. Step 4: Simplify right side
    9,697,276x = 449,946,865,226,401
  5. Step 5: Solve for x
    x = 449,946,865,226,401/9,697,276
  6. Step 6: Final answer
    x = 46,399,304.84

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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.