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Finding the Third Proportional to 437,367,357 and 963,884,109

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Solution

The third proportional to 437,367,357 and 963,884,109 is: 2,124,238,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,367,357 : 963,884,109 = 963,884,109 : x
  2. Step 2: Convert to fraction form
    437,367,357/963,884,109 = 963,884,109/x
  3. Step 3: Cross multiply
    437,367,357x = 963,884,109 × 963,884,109
  4. Step 4: Simplify right side
    437,367,357x = 929,072,575,582,723,840
  5. Step 5: Solve for x
    x = 929,072,575,582,723,840/437,367,357
  6. Step 6: Final answer
    x = 2,124,238,493.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.