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Finding the Third Proportional to 590,366,434.50 and 1,366,734,484.13

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Solution

The third proportional to 590,366,434.50 and 1,366,734,484.13 is: 3,164,074,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,366,434.50 : 1,366,734,484.13 = 1,366,734,484.13 : x
  2. Step 2: Convert to fraction form
    590,366,434.50/1,366,734,484.13 = 1,366,734,484.13/x
  3. Step 3: Cross multiply
    590,366,434.50x = 1,366,734,484.13 × 1,366,734,484.13
  4. Step 4: Simplify right side
    590,366,434.50x = 1,867,963,150,096,429,824
  5. Step 5: Solve for x
    x = 1,867,963,150,096,429,824/590,366,434.50
  6. Step 6: Final answer
    x = 3,164,074,108.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.