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Finding the Third Proportional to 6,477,558 and 9,680,637

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Solution

The third proportional to 6,477,558 and 9,680,637 is: 14,467,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,558 : 9,680,637 = 9,680,637 : x
  2. Step 2: Convert to fraction form
    6,477,558/9,680,637 = 9,680,637/x
  3. Step 3: Cross multiply
    6,477,558x = 9,680,637 × 9,680,637
  4. Step 4: Simplify right side
    6,477,558x = 93,714,732,725,769
  5. Step 5: Solve for x
    x = 93,714,732,725,769/6,477,558
  6. Step 6: Final answer
    x = 14,467,602.25

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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.