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Finding the Third Proportional to 6,385,835 and 9,645,087

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Solution

The third proportional to 6,385,835 and 9,645,087 is: 14,567,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,835 : 9,645,087 = 9,645,087 : x
  2. Step 2: Convert to fraction form
    6,385,835/9,645,087 = 9,645,087/x
  3. Step 3: Cross multiply
    6,385,835x = 9,645,087 × 9,645,087
  4. Step 4: Simplify right side
    6,385,835x = 93,027,703,237,569
  5. Step 5: Solve for x
    x = 93,027,703,237,569/6,385,835
  6. Step 6: Final answer
    x = 14,567,821.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.