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Finding the Third Proportional to 4,601,888 and 10,034,352

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Solution

The third proportional to 4,601,888 and 10,034,352 is: 21,879,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601,888 : 10,034,352 = 10,034,352 : x
  2. Step 2: Convert to fraction form
    4,601,888/10,034,352 = 10,034,352/x
  3. Step 3: Cross multiply
    4,601,888x = 10,034,352 × 10,034,352
  4. Step 4: Simplify right side
    4,601,888x = 100,688,220,059,904
  5. Step 5: Solve for x
    x = 100,688,220,059,904/4,601,888
  6. Step 6: Final answer
    x = 21,879,763.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.