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Finding the Third Proportional to 7,970,508 and 12,688,841

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Solution

The third proportional to 7,970,508 and 12,688,841 is: 20,200,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,508 : 12,688,841 = 12,688,841 : x
  2. Step 2: Convert to fraction form
    7,970,508/12,688,841 = 12,688,841/x
  3. Step 3: Cross multiply
    7,970,508x = 12,688,841 × 12,688,841
  4. Step 4: Simplify right side
    7,970,508x = 161,006,685,923,281
  5. Step 5: Solve for x
    x = 161,006,685,923,281/7,970,508
  6. Step 6: Final answer
    x = 20,200,304.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.