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Finding the Third Proportional to 2,442,675,819 and 5,333,308,677

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Solution

The third proportional to 2,442,675,819 and 5,333,308,677 is: 11,644,681,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,675,819 : 5,333,308,677 = 5,333,308,677 : x
  2. Step 2: Convert to fraction form
    2,442,675,819/5,333,308,677 = 5,333,308,677/x
  3. Step 3: Cross multiply
    2,442,675,819x = 5,333,308,677 × 5,333,308,677
  4. Step 4: Simplify right side
    2,442,675,819x = 28,444,181,444,163,489,792
  5. Step 5: Solve for x
    x = 28,444,181,444,163,489,792/2,442,675,819
  6. Step 6: Final answer
    x = 11,644,681,305.20

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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.