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Finding the Third Proportional to 6,648,160 and 14,289,326

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Solution

The third proportional to 6,648,160 and 14,289,326 is: 30,712,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,160 : 14,289,326 = 14,289,326 : x
  2. Step 2: Convert to fraction form
    6,648,160/14,289,326 = 14,289,326/x
  3. Step 3: Cross multiply
    6,648,160x = 14,289,326 × 14,289,326
  4. Step 4: Simplify right side
    6,648,160x = 204,184,837,534,276
  5. Step 5: Solve for x
    x = 204,184,837,534,276/6,648,160
  6. Step 6: Final answer
    x = 30,712,984.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.