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Finding the Third Proportional to 5,410,051 and 8,098,120

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Solution

The third proportional to 5,410,051 and 8,098,120 is: 12,121,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,051 : 8,098,120 = 8,098,120 : x
  2. Step 2: Convert to fraction form
    5,410,051/8,098,120 = 8,098,120/x
  3. Step 3: Cross multiply
    5,410,051x = 8,098,120 × 8,098,120
  4. Step 4: Simplify right side
    5,410,051x = 65,579,547,534,400
  5. Step 5: Solve for x
    x = 65,579,547,534,400/5,410,051
  6. Step 6: Final answer
    x = 12,121,798.40

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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.