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Finding the Third Proportional to 2,148,416 and 4,680,160

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Solution

The third proportional to 2,148,416 and 4,680,160 is: 10,195,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,416 : 4,680,160 = 4,680,160 : x
  2. Step 2: Convert to fraction form
    2,148,416/4,680,160 = 4,680,160/x
  3. Step 3: Cross multiply
    2,148,416x = 4,680,160 × 4,680,160
  4. Step 4: Simplify right side
    2,148,416x = 21,903,897,625,600
  5. Step 5: Solve for x
    x = 21,903,897,625,600/2,148,416
  6. Step 6: Final answer
    x = 10,195,370.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.