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Finding the Third Proportional to 429,439,148,304 and 640,434,675,096

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Solution

The third proportional to 429,439,148,304 and 640,434,675,096 is: 955,098,236,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,439,148,304 : 640,434,675,096 = 640,434,675,096 : x
  2. Step 2: Convert to fraction form
    429,439,148,304/640,434,675,096 = 640,434,675,096/x
  3. Step 3: Cross multiply
    429,439,148,304x = 640,434,675,096 × 640,434,675,096
  4. Step 4: Simplify right side
    429,439,148,304x = 410,156,573,065,319,112,769,536
  5. Step 5: Solve for x
    x = 410,156,573,065,319,112,769,536/429,439,148,304
  6. Step 6: Final answer
    x = 955,098,236,118.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.