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Finding the Third Proportional to 437,669,929 and 945,220,811

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Solution

The third proportional to 437,669,929 and 945,220,811 is: 2,041,361,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,669,929 : 945,220,811 = 945,220,811 : x
  2. Step 2: Convert to fraction form
    437,669,929/945,220,811 = 945,220,811/x
  3. Step 3: Cross multiply
    437,669,929x = 945,220,811 × 945,220,811
  4. Step 4: Simplify right side
    437,669,929x = 893,442,381,547,497,728
  5. Step 5: Solve for x
    x = 893,442,381,547,497,728/437,669,929
  6. Step 6: Final answer
    x = 2,041,361,131.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.