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Finding the Third Proportional to 1,732,213,803 and 4,041,971,899.50

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Solution

The third proportional to 1,732,213,803 and 4,041,971,899.50 is: 9,431,593,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,213,803 : 4,041,971,899.50 = 4,041,971,899.50 : x
  2. Step 2: Convert to fraction form
    1,732,213,803/4,041,971,899.50 = 4,041,971,899.50/x
  3. Step 3: Cross multiply
    1,732,213,803x = 4,041,971,899.50 × 4,041,971,899.50
  4. Step 4: Simplify right side
    1,732,213,803x = 16,337,536,836,347,637,760
  5. Step 5: Solve for x
    x = 16,337,536,836,347,637,760/1,732,213,803
  6. Step 6: Final answer
    x = 9,431,593,725.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.