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Finding the Third Proportional to 736,836,032.81 and 1,597,995,011.81

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Solution

The third proportional to 736,836,032.81 and 1,597,995,011.81 is: 3,465,612,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,836,032.81 : 1,597,995,011.81 = 1,597,995,011.81 : x
  2. Step 2: Convert to fraction form
    736,836,032.81/1,597,995,011.81 = 1,597,995,011.81/x
  3. Step 3: Cross multiply
    736,836,032.81x = 1,597,995,011.81 × 1,597,995,011.81
  4. Step 4: Simplify right side
    736,836,032.81x = 2,553,588,057,777,632,256
  5. Step 5: Solve for x
    x = 2,553,588,057,777,632,256/736,836,032.81
  6. Step 6: Final answer
    x = 3,465,612,353.44

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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.