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Finding the Third Proportional to 9,452,784 and 20,616,576

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Solution

The third proportional to 9,452,784 and 20,616,576 is: 44,964,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452,784 : 20,616,576 = 20,616,576 : x
  2. Step 2: Convert to fraction form
    9,452,784/20,616,576 = 20,616,576/x
  3. Step 3: Cross multiply
    9,452,784x = 20,616,576 × 20,616,576
  4. Step 4: Simplify right side
    9,452,784x = 425,043,205,963,776
  5. Step 5: Solve for x
    x = 425,043,205,963,776/9,452,784
  6. Step 6: Final answer
    x = 44,964,870.24

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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.