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Finding the Third Proportional to 34,246,326,678 and 52,393,045,262

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Solution

The third proportional to 34,246,326,678 and 52,393,045,262 is: 80,155,492,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246,326,678 : 52,393,045,262 = 52,393,045,262 : x
  2. Step 2: Convert to fraction form
    34,246,326,678/52,393,045,262 = 52,393,045,262/x
  3. Step 3: Cross multiply
    34,246,326,678x = 52,393,045,262 × 52,393,045,262
  4. Step 4: Simplify right side
    34,246,326,678x = 2,745,031,191,825,980,850,176
  5. Step 5: Solve for x
    x = 2,745,031,191,825,980,850,176/34,246,326,678
  6. Step 6: Final answer
    x = 80,155,492,810.54

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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.