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Finding the Third Proportional to 424,895,216 and 914,360,500

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Solution

The third proportional to 424,895,216 and 914,360,500 is: 1,967,673,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,895,216 : 914,360,500 = 914,360,500 : x
  2. Step 2: Convert to fraction form
    424,895,216/914,360,500 = 914,360,500/x
  3. Step 3: Cross multiply
    424,895,216x = 914,360,500 × 914,360,500
  4. Step 4: Simplify right side
    424,895,216x = 836,055,123,960,249,984
  5. Step 5: Solve for x
    x = 836,055,123,960,249,984/424,895,216
  6. Step 6: Final answer
    x = 1,967,673,658.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.