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Finding the Third Proportional to 10,765,464 and 23,512,368

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Solution

The third proportional to 10,765,464 and 23,512,368 is: 51,352,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765,464 : 23,512,368 = 23,512,368 : x
  2. Step 2: Convert to fraction form
    10,765,464/23,512,368 = 23,512,368/x
  3. Step 3: Cross multiply
    10,765,464x = 23,512,368 × 23,512,368
  4. Step 4: Simplify right side
    10,765,464x = 552,831,448,967,424
  5. Step 5: Solve for x
    x = 552,831,448,967,424/10,765,464
  6. Step 6: Final answer
    x = 51,352,310.40

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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.