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Finding the Third Proportional to 10,313,470 and 21,856,358

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Solution

The third proportional to 10,313,470 and 21,856,358 is: 46,318,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,470 : 21,856,358 = 21,856,358 : x
  2. Step 2: Convert to fraction form
    10,313,470/21,856,358 = 21,856,358/x
  3. Step 3: Cross multiply
    10,313,470x = 21,856,358 × 21,856,358
  4. Step 4: Simplify right side
    10,313,470x = 477,700,385,024,164
  5. Step 5: Solve for x
    x = 477,700,385,024,164/10,313,470
  6. Step 6: Final answer
    x = 46,318,104.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.