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Finding the Third Proportional to 303,618,399 and 466,476,102

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Solution

The third proportional to 303,618,399 and 466,476,102 is: 716,688,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,618,399 : 466,476,102 = 466,476,102 : x
  2. Step 2: Convert to fraction form
    303,618,399/466,476,102 = 466,476,102/x
  3. Step 3: Cross multiply
    303,618,399x = 466,476,102 × 466,476,102
  4. Step 4: Simplify right side
    303,618,399x = 217,599,953,737,114,400
  5. Step 5: Solve for x
    x = 217,599,953,737,114,400/303,618,399
  6. Step 6: Final answer
    x = 716,688,957.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.