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Finding the Third Proportional to 584,383,801.50 and 1,285,642,941.75

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Solution

The third proportional to 584,383,801.50 and 1,285,642,941.75 is: 2,828,411,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,383,801.50 : 1,285,642,941.75 = 1,285,642,941.75 : x
  2. Step 2: Convert to fraction form
    584,383,801.50/1,285,642,941.75 = 1,285,642,941.75/x
  3. Step 3: Cross multiply
    584,383,801.50x = 1,285,642,941.75 × 1,285,642,941.75
  4. Step 4: Simplify right side
    584,383,801.50x = 1,652,877,773,671,593,984
  5. Step 5: Solve for x
    x = 1,652,877,773,671,593,984/584,383,801.50
  6. Step 6: Final answer
    x = 2,828,411,344.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.