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Finding the Third Proportional to 7,769,664 and 15,847,488

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Solution

The third proportional to 7,769,664 and 15,847,488 is: 32,323,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,664 : 15,847,488 = 15,847,488 : x
  2. Step 2: Convert to fraction form
    7,769,664/15,847,488 = 15,847,488/x
  3. Step 3: Cross multiply
    7,769,664x = 15,847,488 × 15,847,488
  4. Step 4: Simplify right side
    7,769,664x = 251,142,875,910,144
  5. Step 5: Solve for x
    x = 251,142,875,910,144/7,769,664
  6. Step 6: Final answer
    x = 32,323,518.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.