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Finding the Third Proportional to 2,196,176 and 4,742,272

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Solution

The third proportional to 2,196,176 and 4,742,272 is: 10,240,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,176 : 4,742,272 = 4,742,272 : x
  2. Step 2: Convert to fraction form
    2,196,176/4,742,272 = 4,742,272/x
  3. Step 3: Cross multiply
    2,196,176x = 4,742,272 × 4,742,272
  4. Step 4: Simplify right side
    2,196,176x = 22,489,143,721,984
  5. Step 5: Solve for x
    x = 22,489,143,721,984/2,196,176
  6. Step 6: Final answer
    x = 10,240,137.28

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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.