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Finding the Third Proportional to 10,749,397 and 23,388,293

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Solution

The third proportional to 10,749,397 and 23,388,293 is: 50,887,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749,397 : 23,388,293 = 23,388,293 : x
  2. Step 2: Convert to fraction form
    10,749,397/23,388,293 = 23,388,293/x
  3. Step 3: Cross multiply
    10,749,397x = 23,388,293 × 23,388,293
  4. Step 4: Simplify right side
    10,749,397x = 547,012,249,453,849
  5. Step 5: Solve for x
    x = 547,012,249,453,849/10,749,397
  6. Step 6: Final answer
    x = 50,887,714.86

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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.