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Finding the Third Proportional to 736,836,033.94 and 1,597,995,014.06

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Solution

The third proportional to 736,836,033.94 and 1,597,995,014.06 is: 3,465,612,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,836,033.94 : 1,597,995,014.06 = 1,597,995,014.06 : x
  2. Step 2: Convert to fraction form
    736,836,033.94/1,597,995,014.06 = 1,597,995,014.06/x
  3. Step 3: Cross multiply
    736,836,033.94x = 1,597,995,014.06 × 1,597,995,014.06
  4. Step 4: Simplify right side
    736,836,033.94x = 2,553,588,064,968,609,792
  5. Step 5: Solve for x
    x = 2,553,588,064,968,609,792/736,836,033.94
  6. Step 6: Final answer
    x = 3,465,612,357.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.