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Finding the Third Proportional to 1,225,634,864 and 1,834,109,832

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Solution

The third proportional to 1,225,634,864 and 1,834,109,832 is: 2,744,666,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,634,864 : 1,834,109,832 = 1,834,109,832 : x
  2. Step 2: Convert to fraction form
    1,225,634,864/1,834,109,832 = 1,834,109,832/x
  3. Step 3: Cross multiply
    1,225,634,864x = 1,834,109,832 × 1,834,109,832
  4. Step 4: Simplify right side
    1,225,634,864x = 3,363,958,875,839,068,160
  5. Step 5: Solve for x
    x = 3,363,958,875,839,068,160/1,225,634,864
  6. Step 6: Final answer
    x = 2,744,666,437.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.