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Finding the Third Proportional to 3,590,416 and 7,685,160

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Solution

The third proportional to 3,590,416 and 7,685,160 is: 16,449,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590,416 : 7,685,160 = 7,685,160 : x
  2. Step 2: Convert to fraction form
    3,590,416/7,685,160 = 7,685,160/x
  3. Step 3: Cross multiply
    3,590,416x = 7,685,160 × 7,685,160
  4. Step 4: Simplify right side
    3,590,416x = 59,061,684,225,600
  5. Step 5: Solve for x
    x = 59,061,684,225,600/3,590,416
  6. Step 6: Final answer
    x = 16,449,816.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.