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Finding the Third Proportional to 34,475,270,932 and 48,527,623,009

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Solution

The third proportional to 34,475,270,932 and 48,527,623,009 is: 68,307,808,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,475,270,932 : 48,527,623,009 = 48,527,623,009 : x
  2. Step 2: Convert to fraction form
    34,475,270,932/48,527,623,009 = 48,527,623,009/x
  3. Step 3: Cross multiply
    34,475,270,932x = 48,527,623,009 × 48,527,623,009
  4. Step 4: Simplify right side
    34,475,270,932x = 2,354,930,194,903,626,153,984
  5. Step 5: Solve for x
    x = 2,354,930,194,903,626,153,984/34,475,270,932
  6. Step 6: Final answer
    x = 68,307,808,212.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.