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Finding the Third Proportional to 1,690,149,172.50 and 3,612,897,297

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Solution

The third proportional to 1,690,149,172.50 and 3,612,897,297 is: 7,723,002,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,149,172.50 : 3,612,897,297 = 3,612,897,297 : x
  2. Step 2: Convert to fraction form
    1,690,149,172.50/3,612,897,297 = 3,612,897,297/x
  3. Step 3: Cross multiply
    1,690,149,172.50x = 3,612,897,297 × 3,612,897,297
  4. Step 4: Simplify right side
    1,690,149,172.50x = 13,053,026,878,669,905,920
  5. Step 5: Solve for x
    x = 13,053,026,878,669,905,920/1,690,149,172.50
  6. Step 6: Final answer
    x = 7,723,002,851.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.