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Finding the Third Proportional to 7,862,697 and 17,180,154

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Solution

The third proportional to 7,862,697 and 17,180,154 is: 37,538,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,697 : 17,180,154 = 17,180,154 : x
  2. Step 2: Convert to fraction form
    7,862,697/17,180,154 = 17,180,154/x
  3. Step 3: Cross multiply
    7,862,697x = 17,180,154 × 17,180,154
  4. Step 4: Simplify right side
    7,862,697x = 295,157,691,463,716
  5. Step 5: Solve for x
    x = 295,157,691,463,716/7,862,697
  6. Step 6: Final answer
    x = 37,538,988.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.