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Finding the Third Proportional to 6,475,140 and 9,354,678

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Solution

The third proportional to 6,475,140 and 9,354,678 is: 13,514,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,140 : 9,354,678 = 9,354,678 : x
  2. Step 2: Convert to fraction form
    6,475,140/9,354,678 = 9,354,678/x
  3. Step 3: Cross multiply
    6,475,140x = 9,354,678 × 9,354,678
  4. Step 4: Simplify right side
    6,475,140x = 87,510,000,483,684
  5. Step 5: Solve for x
    x = 87,510,000,483,684/6,475,140
  6. Step 6: Final answer
    x = 13,514,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.