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Finding the Third Proportional to 1,225,482,370,578 and 2,681,818,756,888

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Solution

The third proportional to 1,225,482,370,578 and 2,681,818,756,888 is: 5,868,833,381,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,482,370,578 : 2,681,818,756,888 = 2,681,818,756,888 : x
  2. Step 2: Convert to fraction form
    1,225,482,370,578/2,681,818,756,888 = 2,681,818,756,888/x
  3. Step 3: Cross multiply
    1,225,482,370,578x = 2,681,818,756,888 × 2,681,818,756,888
  4. Step 4: Simplify right side
    1,225,482,370,578x = 7,192,151,844,796,297,247,719,424
  5. Step 5: Solve for x
    x = 7,192,151,844,796,297,247,719,424/1,225,482,370,578
  6. Step 6: Final answer
    x = 5,868,833,381,425.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.