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Finding the Third Proportional to 2,098,193,044.50 and 4,590,607,338

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Solution

The third proportional to 2,098,193,044.50 and 4,590,607,338 is: 10,043,725,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,193,044.50 : 4,590,607,338 = 4,590,607,338 : x
  2. Step 2: Convert to fraction form
    2,098,193,044.50/4,590,607,338 = 4,590,607,338/x
  3. Step 3: Cross multiply
    2,098,193,044.50x = 4,590,607,338 × 4,590,607,338
  4. Step 4: Simplify right side
    2,098,193,044.50x = 21,073,675,731,699,445,760
  5. Step 5: Solve for x
    x = 21,073,675,731,699,445,760/2,098,193,044.50
  6. Step 6: Final answer
    x = 10,043,725,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.