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Finding the Third Proportional to 11,698,298 and 25,246,261

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Solution

The third proportional to 11,698,298 and 25,246,261 is: 54,484,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698,298 : 25,246,261 = 25,246,261 : x
  2. Step 2: Convert to fraction form
    11,698,298/25,246,261 = 25,246,261/x
  3. Step 3: Cross multiply
    11,698,298x = 25,246,261 × 25,246,261
  4. Step 4: Simplify right side
    11,698,298x = 637,373,694,480,121
  5. Step 5: Solve for x
    x = 637,373,694,480,121/11,698,298
  6. Step 6: Final answer
    x = 54,484,309.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.