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Finding the Third Proportional to 2,943,737,319 and 5,973,974,862

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Solution

The third proportional to 2,943,737,319 and 5,973,974,862 is: 12,123,491,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943,737,319 : 5,973,974,862 = 5,973,974,862 : x
  2. Step 2: Convert to fraction form
    2,943,737,319/5,973,974,862 = 5,973,974,862/x
  3. Step 3: Cross multiply
    2,943,737,319x = 5,973,974,862 × 5,973,974,862
  4. Step 4: Simplify right side
    2,943,737,319x = 35,688,375,651,807,920,128
  5. Step 5: Solve for x
    x = 35,688,375,651,807,920,128/2,943,737,319
  6. Step 6: Final answer
    x = 12,123,491,937.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.