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Finding the Third Proportional to 1,873,758,994 and 2,910,709,498

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Solution

The third proportional to 1,873,758,994 and 2,910,709,498 is: 4,521,515,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,758,994 : 2,910,709,498 = 2,910,709,498 : x
  2. Step 2: Convert to fraction form
    1,873,758,994/2,910,709,498 = 2,910,709,498/x
  3. Step 3: Cross multiply
    1,873,758,994x = 2,910,709,498 × 2,910,709,498
  4. Step 4: Simplify right side
    1,873,758,994x = 8,472,229,781,747,411,968
  5. Step 5: Solve for x
    x = 8,472,229,781,747,411,968/1,873,758,994
  6. Step 6: Final answer
    x = 4,521,515,204.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.