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Finding the Third Proportional to 584,698,144 and 1,300,125,036

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Solution

The third proportional to 584,698,144 and 1,300,125,036 is: 2,890,936,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,698,144 : 1,300,125,036 = 1,300,125,036 : x
  2. Step 2: Convert to fraction form
    584,698,144/1,300,125,036 = 1,300,125,036/x
  3. Step 3: Cross multiply
    584,698,144x = 1,300,125,036 × 1,300,125,036
  4. Step 4: Simplify right side
    584,698,144x = 1,690,325,109,234,001,408
  5. Step 5: Solve for x
    x = 1,690,325,109,234,001,408/584,698,144
  6. Step 6: Final answer
    x = 2,890,936,334.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.