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Finding the Third Proportional to 2,288,762,041 and 4,943,417,858

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Solution

The third proportional to 2,288,762,041 and 4,943,417,858 is: 10,677,117,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,762,041 : 4,943,417,858 = 4,943,417,858 : x
  2. Step 2: Convert to fraction form
    2,288,762,041/4,943,417,858 = 4,943,417,858/x
  3. Step 3: Cross multiply
    2,288,762,041x = 4,943,417,858 × 4,943,417,858
  4. Step 4: Simplify right side
    2,288,762,041x = 24,437,380,118,793,310,208
  5. Step 5: Solve for x
    x = 24,437,380,118,793,310,208/2,288,762,041
  6. Step 6: Final answer
    x = 10,677,117,009.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.