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Finding the Third Proportional to 6,145,715 and 9,234,411

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Solution

The third proportional to 6,145,715 and 9,234,411 is: 13,875,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145,715 : 9,234,411 = 9,234,411 : x
  2. Step 2: Convert to fraction form
    6,145,715/9,234,411 = 9,234,411/x
  3. Step 3: Cross multiply
    6,145,715x = 9,234,411 × 9,234,411
  4. Step 4: Simplify right side
    6,145,715x = 85,274,346,516,921
  5. Step 5: Solve for x
    x = 85,274,346,516,921/6,145,715
  6. Step 6: Final answer
    x = 13,875,415.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.