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Finding the Third Proportional to 1,293,737,994 and 2,112,334,371

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Solution

The third proportional to 1,293,737,994 and 2,112,334,371 is: 3,448,887,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,737,994 : 2,112,334,371 = 2,112,334,371 : x
  2. Step 2: Convert to fraction form
    1,293,737,994/2,112,334,371 = 2,112,334,371/x
  3. Step 3: Cross multiply
    1,293,737,994x = 2,112,334,371 × 2,112,334,371
  4. Step 4: Simplify right side
    1,293,737,994x = 4,461,956,494,907,965,440
  5. Step 5: Solve for x
    x = 4,461,956,494,907,965,440/1,293,737,994
  6. Step 6: Final answer
    x = 3,448,887,267.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.