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Finding the Third Proportional to 29,789,435,140 and 64,809,005,935

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Solution

The third proportional to 29,789,435,140 and 64,809,005,935 is: 140,996,538,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,789,435,140 : 64,809,005,935 = 64,809,005,935 : x
  2. Step 2: Convert to fraction form
    29,789,435,140/64,809,005,935 = 64,809,005,935/x
  3. Step 3: Cross multiply
    29,789,435,140x = 64,809,005,935 × 64,809,005,935
  4. Step 4: Simplify right side
    29,789,435,140x = 4,200,207,250,282,865,229,824
  5. Step 5: Solve for x
    x = 4,200,207,250,282,865,229,824/29,789,435,140
  6. Step 6: Final answer
    x = 140,996,538,891.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.