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Finding the Third Proportional to 18,029,908,716 and 24,037,149,463.50

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Solution

The third proportional to 18,029,908,716 and 24,037,149,463.50 is: 32,045,894,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029,908,716 : 24,037,149,463.50 = 24,037,149,463.50 : x
  2. Step 2: Convert to fraction form
    18,029,908,716/24,037,149,463.50 = 24,037,149,463.50/x
  3. Step 3: Cross multiply
    18,029,908,716x = 24,037,149,463.50 × 24,037,149,463.50
  4. Step 4: Simplify right side
    18,029,908,716x = 577,784,554,330,638,319,616
  5. Step 5: Solve for x
    x = 577,784,554,330,638,319,616/18,029,908,716
  6. Step 6: Final answer
    x = 32,045,894,598.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.