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Finding the Third Proportional to 4,616,076 and 10,686,285

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Solution

The third proportional to 4,616,076 and 10,686,285 is: 24,738,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,076 : 10,686,285 = 10,686,285 : x
  2. Step 2: Convert to fraction form
    4,616,076/10,686,285 = 10,686,285/x
  3. Step 3: Cross multiply
    4,616,076x = 10,686,285 × 10,686,285
  4. Step 4: Simplify right side
    4,616,076x = 114,196,687,101,225
  5. Step 5: Solve for x
    x = 114,196,687,101,225/4,616,076
  6. Step 6: Final answer
    x = 24,738,909.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.