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Finding the Third Proportional to 6,477,552 and 9,680,628

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Solution

The third proportional to 6,477,552 and 9,680,628 is: 14,467,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,552 : 9,680,628 = 9,680,628 : x
  2. Step 2: Convert to fraction form
    6,477,552/9,680,628 = 9,680,628/x
  3. Step 3: Cross multiply
    6,477,552x = 9,680,628 × 9,680,628
  4. Step 4: Simplify right side
    6,477,552x = 93,714,558,474,384
  5. Step 5: Solve for x
    x = 93,714,558,474,384/6,477,552
  6. Step 6: Final answer
    x = 14,467,588.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.