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Finding the Third Proportional to 734,657,172 and 1,598,448,912

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Solution

The third proportional to 734,657,172 and 1,598,448,912 is: 3,477,865,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,657,172 : 1,598,448,912 = 1,598,448,912 : x
  2. Step 2: Convert to fraction form
    734,657,172/1,598,448,912 = 1,598,448,912/x
  3. Step 3: Cross multiply
    734,657,172x = 1,598,448,912 × 1,598,448,912
  4. Step 4: Simplify right side
    734,657,172x = 2,555,038,924,273,983,488
  5. Step 5: Solve for x
    x = 2,555,038,924,273,983,488/734,657,172
  6. Step 6: Final answer
    x = 3,477,865,624.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.