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Finding the Third Proportional to 1,381,733,484 and 2,122,732,827

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Solution

The third proportional to 1,381,733,484 and 2,122,732,827 is: 3,261,117,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,733,484 : 2,122,732,827 = 2,122,732,827 : x
  2. Step 2: Convert to fraction form
    1,381,733,484/2,122,732,827 = 2,122,732,827/x
  3. Step 3: Cross multiply
    1,381,733,484x = 2,122,732,827 × 2,122,732,827
  4. Step 4: Simplify right side
    1,381,733,484x = 4,505,994,654,823,411,712
  5. Step 5: Solve for x
    x = 4,505,994,654,823,411,712/1,381,733,484
  6. Step 6: Final answer
    x = 3,261,117,072.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.