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Finding the Third Proportional to 1,490,354,108,574 and 3,241,833,667,068

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Solution

The third proportional to 1,490,354,108,574 and 3,241,833,667,068 is: 7,051,670,112,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,354,108,574 : 3,241,833,667,068 = 3,241,833,667,068 : x
  2. Step 2: Convert to fraction form
    1,490,354,108,574/3,241,833,667,068 = 3,241,833,667,068/x
  3. Step 3: Cross multiply
    1,490,354,108,574x = 3,241,833,667,068 × 3,241,833,667,068
  4. Step 4: Simplify right side
    1,490,354,108,574x = 10,509,485,524,935,556,269,604,864
  5. Step 5: Solve for x
    x = 10,509,485,524,935,556,269,604,864/1,490,354,108,574
  6. Step 6: Final answer
    x = 7,051,670,112,810.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.