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Finding the Third Proportional to 10,725,168 and 23,378,352

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Solution

The third proportional to 10,725,168 and 23,378,352 is: 50,959,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725,168 : 23,378,352 = 23,378,352 : x
  2. Step 2: Convert to fraction form
    10,725,168/23,378,352 = 23,378,352/x
  3. Step 3: Cross multiply
    10,725,168x = 23,378,352 × 23,378,352
  4. Step 4: Simplify right side
    10,725,168x = 546,547,342,235,904
  5. Step 5: Solve for x
    x = 546,547,342,235,904/10,725,168
  6. Step 6: Final answer
    x = 50,959,326.91

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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.