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Finding the Third Proportional to 413,908,248 and 901,299,698

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Solution

The third proportional to 413,908,248 and 901,299,698 is: 1,962,611,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,908,248 : 901,299,698 = 901,299,698 : x
  2. Step 2: Convert to fraction form
    413,908,248/901,299,698 = 901,299,698/x
  3. Step 3: Cross multiply
    413,908,248x = 901,299,698 × 901,299,698
  4. Step 4: Simplify right side
    413,908,248x = 812,341,145,614,891,264
  5. Step 5: Solve for x
    x = 812,341,145,614,891,264/413,908,248
  6. Step 6: Final answer
    x = 1,962,611,640.48

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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.