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Finding the Third Proportional to 2,499,217,692 and 5,205,294,158

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Solution

The third proportional to 2,499,217,692 and 5,205,294,158 is: 10,841,427,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499,217,692 : 5,205,294,158 = 5,205,294,158 : x
  2. Step 2: Convert to fraction form
    2,499,217,692/5,205,294,158 = 5,205,294,158/x
  3. Step 3: Cross multiply
    2,499,217,692x = 5,205,294,158 × 5,205,294,158
  4. Step 4: Simplify right side
    2,499,217,692x = 27,095,087,271,308,926,976
  5. Step 5: Solve for x
    x = 27,095,087,271,308,926,976/2,499,217,692
  6. Step 6: Final answer
    x = 10,841,427,442.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.