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Finding the Third Proportional to 34,246,326,006 and 52,393,044,369

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Solution

The third proportional to 34,246,326,006 and 52,393,044,369 is: 80,155,491,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246,326,006 : 52,393,044,369 = 52,393,044,369 : x
  2. Step 2: Convert to fraction form
    34,246,326,006/52,393,044,369 = 52,393,044,369/x
  3. Step 3: Cross multiply
    34,246,326,006x = 52,393,044,369 × 52,393,044,369
  4. Step 4: Simplify right side
    34,246,326,006x = 2,745,031,098,252,002,852,864
  5. Step 5: Solve for x
    x = 2,745,031,098,252,002,852,864/34,246,326,006
  6. Step 6: Final answer
    x = 80,155,491,651.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.