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Finding the Third Proportional to 367,765,385.91 and 784,628,878.78

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Solution

The third proportional to 367,765,385.91 and 784,628,878.78 is: 1,674,008,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,765,385.91 : 784,628,878.78 = 784,628,878.78 : x
  2. Step 2: Convert to fraction form
    367,765,385.91/784,628,878.78 = 784,628,878.78/x
  3. Step 3: Cross multiply
    367,765,385.91x = 784,628,878.78 × 784,628,878.78
  4. Step 4: Simplify right side
    367,765,385.91x = 615,642,477,417,521,536
  5. Step 5: Solve for x
    x = 615,642,477,417,521,536/367,765,385.91
  6. Step 6: Final answer
    x = 1,674,008,759.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.