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Finding the Third Proportional to 734,657,184 and 1,598,448,942

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Solution

The third proportional to 734,657,184 and 1,598,448,942 is: 3,477,865,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,657,184 : 1,598,448,942 = 1,598,448,942 : x
  2. Step 2: Convert to fraction form
    734,657,184/1,598,448,942 = 1,598,448,942/x
  3. Step 3: Cross multiply
    734,657,184x = 1,598,448,942 × 1,598,448,942
  4. Step 4: Simplify right side
    734,657,184x = 2,555,039,020,180,919,296
  5. Step 5: Solve for x
    x = 2,555,039,020,180,919,296/734,657,184
  6. Step 6: Final answer
    x = 3,477,865,698.22

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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.