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Finding the Third Proportional to 3,430,951 and 7,459,440

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Solution

The third proportional to 3,430,951 and 7,459,440 is: 16,218,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,951 : 7,459,440 = 7,459,440 : x
  2. Step 2: Convert to fraction form
    3,430,951/7,459,440 = 7,459,440/x
  3. Step 3: Cross multiply
    3,430,951x = 7,459,440 × 7,459,440
  4. Step 4: Simplify right side
    3,430,951x = 55,643,245,113,600
  5. Step 5: Solve for x
    x = 55,643,245,113,600/3,430,951
  6. Step 6: Final answer
    x = 16,218,023.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.