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Finding the Third Proportional to 32,689,416,612 and 46,745,921,424

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Solution

The third proportional to 32,689,416,612 and 46,745,921,424 is: 66,846,747,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689,416,612 : 46,745,921,424 = 46,745,921,424 : x
  2. Step 2: Convert to fraction form
    32,689,416,612/46,745,921,424 = 46,745,921,424/x
  3. Step 3: Cross multiply
    32,689,416,612x = 46,745,921,424 × 46,745,921,424
  4. Step 4: Simplify right side
    32,689,416,612x = 2,185,181,169,778,782,109,696
  5. Step 5: Solve for x
    x = 2,185,181,169,778,782,109,696/32,689,416,612
  6. Step 6: Final answer
    x = 66,846,747,242.86

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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.