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Finding the Third Proportional to 4,817,896 and 10,698,656

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Solution

The third proportional to 4,817,896 and 10,698,656 is: 23,757,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817,896 : 10,698,656 = 10,698,656 : x
  2. Step 2: Convert to fraction form
    4,817,896/10,698,656 = 10,698,656/x
  3. Step 3: Cross multiply
    4,817,896x = 10,698,656 × 10,698,656
  4. Step 4: Simplify right side
    4,817,896x = 114,461,240,206,336
  5. Step 5: Solve for x
    x = 114,461,240,206,336/4,817,896
  6. Step 6: Final answer
    x = 23,757,515.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.