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Finding the Third Proportional to 7,122,600 and 16,796,784

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Solution

The third proportional to 7,122,600 and 16,796,784 is: 39,610,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,600 : 16,796,784 = 16,796,784 : x
  2. Step 2: Convert to fraction form
    7,122,600/16,796,784 = 16,796,784/x
  3. Step 3: Cross multiply
    7,122,600x = 16,796,784 × 16,796,784
  4. Step 4: Simplify right side
    7,122,600x = 282,131,952,742,656
  5. Step 5: Solve for x
    x = 282,131,952,742,656/7,122,600
  6. Step 6: Final answer
    x = 39,610,809.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.