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Finding the Third Proportional to 284,784,715.69 and 427,935,347.44

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Solution

The third proportional to 284,784,715.69 and 427,935,347.44 is: 643,042,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,784,715.69 : 427,935,347.44 = 427,935,347.44 : x
  2. Step 2: Convert to fraction form
    284,784,715.69/427,935,347.44 = 427,935,347.44/x
  3. Step 3: Cross multiply
    284,784,715.69x = 427,935,347.44 × 427,935,347.44
  4. Step 4: Simplify right side
    284,784,715.69x = 183,128,661,586,453,824
  5. Step 5: Solve for x
    x = 183,128,661,586,453,824/284,784,715.69
  6. Step 6: Final answer
    x = 643,042,451.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.