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Finding the Third Proportional to 4,768,500 and 10,218,804

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Solution

The third proportional to 4,768,500 and 10,218,804 is: 21,898,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,500 : 10,218,804 = 10,218,804 : x
  2. Step 2: Convert to fraction form
    4,768,500/10,218,804 = 10,218,804/x
  3. Step 3: Cross multiply
    4,768,500x = 10,218,804 × 10,218,804
  4. Step 4: Simplify right side
    4,768,500x = 104,423,955,190,416
  5. Step 5: Solve for x
    x = 104,423,955,190,416/4,768,500
  6. Step 6: Final answer
    x = 21,898,700.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.