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Finding the Third Proportional to 1,202,165,722.13 and 1,839,000,290.63

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Solution

The third proportional to 1,202,165,722.13 and 1,839,000,290.63 is: 2,813,191,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,165,722.13 : 1,839,000,290.63 = 1,839,000,290.63 : x
  2. Step 2: Convert to fraction form
    1,202,165,722.13/1,839,000,290.63 = 1,839,000,290.63/x
  3. Step 3: Cross multiply
    1,202,165,722.13x = 1,839,000,290.63 × 1,839,000,290.63
  4. Step 4: Simplify right side
    1,202,165,722.13x = 3,381,922,068,918,834,688
  5. Step 5: Solve for x
    x = 3,381,922,068,918,834,688/1,202,165,722.13
  6. Step 6: Final answer
    x = 2,813,191,232.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.