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Finding the Third Proportional to 34,339,661,004 and 51,835,966,140

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Solution

The third proportional to 34,339,661,004 and 51,835,966,140 is: 78,246,765,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,339,661,004 : 51,835,966,140 = 51,835,966,140 : x
  2. Step 2: Convert to fraction form
    34,339,661,004/51,835,966,140 = 51,835,966,140/x
  3. Step 3: Cross multiply
    34,339,661,004x = 51,835,966,140 × 51,835,966,140
  4. Step 4: Simplify right side
    34,339,661,004x = 2,686,967,385,667,226,566,656
  5. Step 5: Solve for x
    x = 2,686,967,385,667,226,566,656/34,339,661,004
  6. Step 6: Final answer
    x = 78,246,765,026.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.