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Finding the Third Proportional to 34,803,044,309 and 53,203,440,987

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Solution

The third proportional to 34,803,044,309 and 53,203,440,987 is: 81,332,141,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,803,044,309 : 53,203,440,987 = 53,203,440,987 : x
  2. Step 2: Convert to fraction form
    34,803,044,309/53,203,440,987 = 53,203,440,987/x
  3. Step 3: Cross multiply
    34,803,044,309x = 53,203,440,987 × 53,203,440,987
  4. Step 4: Simplify right side
    34,803,044,309x = 2,830,606,132,857,191,530,496
  5. Step 5: Solve for x
    x = 2,830,606,132,857,191,530,496/34,803,044,309
  6. Step 6: Final answer
    x = 81,332,141,743.85

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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.