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Finding the Third Proportional to 3,213,834,053,912.50 and 6,938,919,265,715

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Solution

The third proportional to 3,213,834,053,912.50 and 6,938,919,265,715 is: 14,981,669,796,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,834,053,912.50 : 6,938,919,265,715 = 6,938,919,265,715 : x
  2. Step 2: Convert to fraction form
    3,213,834,053,912.50/6,938,919,265,715 = 6,938,919,265,715/x
  3. Step 3: Cross multiply
    3,213,834,053,912.50x = 6,938,919,265,715 × 6,938,919,265,715
  4. Step 4: Simplify right side
    3,213,834,053,912.50x = 48,148,600,576,110,793,152,528,384
  5. Step 5: Solve for x
    x = 48,148,600,576,110,793,152,528,384/3,213,834,053,912.50
  6. Step 6: Final answer
    x = 14,981,669,796,390.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.