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Finding the Third Proportional to 6,475,116 and 9,354,651

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Solution

The third proportional to 6,475,116 and 9,354,651 is: 13,514,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,116 : 9,354,651 = 9,354,651 : x
  2. Step 2: Convert to fraction form
    6,475,116/9,354,651 = 9,354,651/x
  3. Step 3: Cross multiply
    6,475,116x = 9,354,651 × 9,354,651
  4. Step 4: Simplify right side
    6,475,116x = 87,509,495,331,801
  5. Step 5: Solve for x
    x = 87,509,495,331,801/6,475,116
  6. Step 6: Final answer
    x = 13,514,737.86

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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.