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Finding the Third Proportional to 383,807,124 and 561,316,194

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Solution

The third proportional to 383,807,124 and 561,316,194 is: 820,922,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,807,124 : 561,316,194 = 561,316,194 : x
  2. Step 2: Convert to fraction form
    383,807,124/561,316,194 = 561,316,194/x
  3. Step 3: Cross multiply
    383,807,124x = 561,316,194 × 561,316,194
  4. Step 4: Simplify right side
    383,807,124x = 315,075,869,646,645,632
  5. Step 5: Solve for x
    x = 315,075,869,646,645,632/383,807,124
  6. Step 6: Final answer
    x = 820,922,411.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.