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Finding the Third Proportional to 46,377,576 and 100,746,432

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Solution

The third proportional to 46,377,576 and 100,746,432 is: 218,852,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,576 : 100,746,432 = 100,746,432 : x
  2. Step 2: Convert to fraction form
    46,377,576/100,746,432 = 100,746,432/x
  3. Step 3: Cross multiply
    46,377,576x = 100,746,432 × 100,746,432
  4. Step 4: Simplify right side
    46,377,576x = 10,149,843,560,730,624
  5. Step 5: Solve for x
    x = 10,149,843,560,730,624/46,377,576
  6. Step 6: Final answer
    x = 218,852,394.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.