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Finding the Third Proportional to 1,141,922,966 and 1,817,023,926

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Solution

The third proportional to 1,141,922,966 and 1,817,023,926 is: 2,891,242,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,922,966 : 1,817,023,926 = 1,817,023,926 : x
  2. Step 2: Convert to fraction form
    1,141,922,966/1,817,023,926 = 1,817,023,926/x
  3. Step 3: Cross multiply
    1,141,922,966x = 1,817,023,926 × 1,817,023,926
  4. Step 4: Simplify right side
    1,141,922,966x = 3,301,575,947,656,453,632
  5. Step 5: Solve for x
    x = 3,301,575,947,656,453,632/1,141,922,966
  6. Step 6: Final answer
    x = 2,891,242,269.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.