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Finding the Third Proportional to 413,525,961 and 640,229,197.50

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Solution

The third proportional to 413,525,961 and 640,229,197.50 is: 991,215,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525,961 : 640,229,197.50 = 640,229,197.50 : x
  2. Step 2: Convert to fraction form
    413,525,961/640,229,197.50 = 640,229,197.50/x
  3. Step 3: Cross multiply
    413,525,961x = 640,229,197.50 × 640,229,197.50
  4. Step 4: Simplify right side
    413,525,961x = 409,893,425,331,494,016
  5. Step 5: Solve for x
    x = 409,893,425,331,494,016/413,525,961
  6. Step 6: Final answer
    x = 991,215,701.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.