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Finding the Third Proportional to 437,367,363 and 963,884,121

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Solution

The third proportional to 437,367,363 and 963,884,121 is: 2,124,238,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,367,363 : 963,884,121 = 963,884,121 : x
  2. Step 2: Convert to fraction form
    437,367,363/963,884,121 = 963,884,121/x
  3. Step 3: Cross multiply
    437,367,363x = 963,884,121 × 963,884,121
  4. Step 4: Simplify right side
    437,367,363x = 929,072,598,715,942,656
  5. Step 5: Solve for x
    x = 929,072,598,715,942,656/437,367,363
  6. Step 6: Final answer
    x = 2,124,238,517.35

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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.