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Finding the Third Proportional to 15,745,225,230 and 34,699,828,894.50

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Solution

The third proportional to 15,745,225,230 and 34,699,828,894.50 is: 76,472,588,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745,225,230 : 34,699,828,894.50 = 34,699,828,894.50 : x
  2. Step 2: Convert to fraction form
    15,745,225,230/34,699,828,894.50 = 34,699,828,894.50/x
  3. Step 3: Cross multiply
    15,745,225,230x = 34,699,828,894.50 × 34,699,828,894.50
  4. Step 4: Simplify right side
    15,745,225,230x = 1,204,078,125,307,576,975,360
  5. Step 5: Solve for x
    x = 1,204,078,125,307,576,975,360/15,745,225,230
  6. Step 6: Final answer
    x = 76,472,588,211.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.