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Finding the Third Proportional to 9,697,171.50 and 21,211,740

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Solution

The third proportional to 9,697,171.50 and 21,211,740 is: 46,398,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,171.50 : 21,211,740 = 21,211,740 : x
  2. Step 2: Convert to fraction form
    9,697,171.50/21,211,740 = 21,211,740/x
  3. Step 3: Cross multiply
    9,697,171.50x = 21,211,740 × 21,211,740
  4. Step 4: Simplify right side
    9,697,171.50x = 449,937,913,827,600
  5. Step 5: Solve for x
    x = 449,937,913,827,600/9,697,171.50
  6. Step 6: Final answer
    x = 46,398,881.76

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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.