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Finding the Third Proportional to 41,399,762,337 and 67,594,927,153.50

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Solution

The third proportional to 41,399,762,337 and 67,594,927,153.50 is: 110,364,744,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,399,762,337 : 67,594,927,153.50 = 67,594,927,153.50 : x
  2. Step 2: Convert to fraction form
    41,399,762,337/67,594,927,153.50 = 67,594,927,153.50/x
  3. Step 3: Cross multiply
    41,399,762,337x = 67,594,927,153.50 × 67,594,927,153.50
  4. Step 4: Simplify right side
    41,399,762,337x = 4,569,074,176,886,971,564,032
  5. Step 5: Solve for x
    x = 4,569,074,176,886,971,564,032/41,399,762,337
  6. Step 6: Final answer
    x = 110,364,744,118.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.