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Finding the Third Proportional to 32,689,416,614 and 46,745,921,427

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Solution

The third proportional to 32,689,416,614 and 46,745,921,427 is: 66,846,747,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689,416,614 : 46,745,921,427 = 46,745,921,427 : x
  2. Step 2: Convert to fraction form
    32,689,416,614/46,745,921,427 = 46,745,921,427/x
  3. Step 3: Cross multiply
    32,689,416,614x = 46,745,921,427 × 46,745,921,427
  4. Step 4: Simplify right side
    32,689,416,614x = 2,185,181,170,059,257,839,616
  5. Step 5: Solve for x
    x = 2,185,181,170,059,257,839,616/32,689,416,614
  6. Step 6: Final answer
    x = 66,846,747,247.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.