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Finding the Third Proportional to 2,288,762,073 and 4,943,417,922

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Solution

The third proportional to 2,288,762,073 and 4,943,417,922 is: 10,677,117,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,762,073 : 4,943,417,922 = 4,943,417,922 : x
  2. Step 2: Convert to fraction form
    2,288,762,073/4,943,417,922 = 4,943,417,922/x
  3. Step 3: Cross multiply
    2,288,762,073x = 4,943,417,922 × 4,943,417,922
  4. Step 4: Simplify right side
    2,288,762,073x = 24,437,380,751,550,799,872
  5. Step 5: Solve for x
    x = 24,437,380,751,550,799,872/2,288,762,073
  6. Step 6: Final answer
    x = 10,677,117,136.74

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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.