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Finding the Third Proportional to 383,807,127 and 561,316,198.50

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Solution

The third proportional to 383,807,127 and 561,316,198.50 is: 820,922,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,807,127 : 561,316,198.50 = 561,316,198.50 : x
  2. Step 2: Convert to fraction form
    383,807,127/561,316,198.50 = 561,316,198.50/x
  3. Step 3: Cross multiply
    383,807,127x = 561,316,198.50 × 561,316,198.50
  4. Step 4: Simplify right side
    383,807,127x = 315,075,874,698,491,392
  5. Step 5: Solve for x
    x = 315,075,874,698,491,392/383,807,127
  6. Step 6: Final answer
    x = 820,922,417.89

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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.